λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,333,348

33,333,348

22 × 3 × 232 × 59 × 89
Abundant Even Composite

33,333,348 factors as 2^2 × 3 × 23^2 × 59 × 89. Its 72 positive divisors give a proper-divisor sum of 50,280,252, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23^2 × 59 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 83,613,600
Proper Divisor Sum 50,280,252
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #33333347 ← → #33333359

Radix Representation

Decimal 33333348
Binary 1111111001010000001100100 (25 bits)
Octal 0o177120144
Hexadecimal 0x1FCA064

Divisor Catalog (60 of 72)

1 2 3 4 6 12 23 46 59 69 89 92 118 138 177 178 236 267 276 354 356 529 534 708 1,058 1,068 1,357 1,587 2,047 2,116 2,714 3,174 4,071 4,094 5,251 5,428 6,141 6,348 8,142 8,188 10,502 12,282 15,753 16,284 21,004 24,564 31,211 31,506 47,081 62,422 63,012 93,633 94,162 120,773 124,844 141,243 187,266 188,324 241,546 282,486

Collatz Trajectory (170 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

33,333,348 16,666,674 8,333,337 25,000,012 12,500,006 6,250,003 18,750,010 9,375,005 28,125,016 14,062,508 7,031,254 3,515,627 10,546,882 5,273,441 15,820,324 7,910,162 3,955,081 11,865,244 5,932,622 2,966,311 8,898,934 4,449,467 13,348,402 6,674,201 20,022,604 10,011,302 5,005,651 15,016,954 7,508,477 22,525,432 11,262,716 5,631,358 2,815,679 8,447,038 4,223,519 12,670,558 6,335,279 19,005,838 9,502,919 28,508,758 14,254,379 42,763,138 21,381,569 64,144,708 32,072,354 16,036,177 48,108,532 24,054,266 12,027,133 36,081,400 18,040,700 9,020,350 4,510,175 13,530,526 6,765,263 20,295,790 10,147,895 30,443,686 15,221,843 45,665,530

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #33,333,347 Browse Full Index Next Integer #33,333,349 →