λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,036,712

3,036,712

23 × 7 × 211 × 257
Abundant Even Composite

3,036,712 factors as 2^3 × 7 × 211 × 257. Its 32 positive divisors give a proper-divisor sum of 3,526,808, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 211 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,563,520
Proper Divisor Sum 3,526,808
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3036661 ← → #3036731

Radix Representation

Decimal 3036712
Binary 1011100101011000101000 (22 bits)
Octal 0o13453050
Hexadecimal 0x2E5628

Divisor Catalog (32)

1 2 4 7 8 14 28 56 211 257 422 514 844 1,028 1,477 1,688 1,799 2,056 2,954 3,598 5,908 7,196 11,816 14,392 54,227 108,454 216,908 379,589 433,816 759,178 1,518,356 3,036,712

Collatz Trajectory (182 steps to reach 1)

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

3,036,712 1,518,356 759,178 379,589 1,138,768 569,384 284,692 142,346 71,173 213,520 106,760 53,380 26,690 13,345 40,036 20,018 10,009 30,028 15,014 7,507 22,522 11,261 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,036,711 Browse Full Index Next Integer #3,036,713 →