λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,249,352

33,249,352

23 × 23 × 137 × 1319
Deficient Even Composite

33,249,352 factors as 2^3 × 23 × 137 × 1319. Its 32 positive divisors give a proper-divisor sum of 32,328,248, so this integer is deficient. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 137 × 1319
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,577,600
Proper Divisor Sum 32,328,248
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #33249343 ← → #33249397

Radix Representation

Decimal 33249352
Binary 1111110110101100001001000 (25 bits)
Octal 0o176654110
Hexadecimal 0x1FB5848

Divisor Catalog (32)

1 2 4 8 23 46 92 137 184 274 548 1,096 1,319 2,638 3,151 5,276 6,302 10,552 12,604 25,208 30,337 60,674 121,348 180,703 242,696 361,406 722,812 1,445,624 4,156,169 8,312,338 16,624,676 33,249,352

Collatz Trajectory (245 steps to reach 1)

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

33,249,352 16,624,676 8,312,338 4,156,169 12,468,508 6,234,254 3,117,127 9,351,382 4,675,691 14,027,074 7,013,537 21,040,612 10,520,306 5,260,153 15,780,460 7,890,230 3,945,115 11,835,346 5,917,673 17,753,020 8,876,510 4,438,255 13,314,766 6,657,383 19,972,150 9,986,075 29,958,226 14,979,113 44,937,340 22,468,670 11,234,335 33,703,006 16,851,503 50,554,510 25,277,255 75,831,766 37,915,883 113,747,650 56,873,825 170,621,476 85,310,738 42,655,369 127,966,108 63,983,054 31,991,527 95,974,582 47,987,291 143,961,874 71,980,937 215,942,812 107,971,406 53,985,703 161,957,110 80,978,555 242,935,666 121,467,833 364,403,500 182,201,750 91,100,875 273,302,626

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #33,249,351 Browse Full Index Next Integer #33,249,353 →