λ
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Atlas › Integer Profiles › Node 1,256,016

1,256,016

24 × 3 × 137 × 191
Abundant Even Composite

1,256,016 factors as 2^4 × 3 × 137 × 191. Its 40 positive divisors give a proper-divisor sum of 2,029,488, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 137 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,285,504
Proper Divisor Sum 2,029,488
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1256009 ← → #1256023

Radix Representation

Decimal 1256016
Binary 100110010101001010000 (21 bits)
Octal 0o4625120
Hexadecimal 0x132A50

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 137 191 274 382 411 548 573 764 822 1,096 1,146 1,528 1,644 2,192 2,292 3,056 3,288 4,584 6,576 9,168 26,167 52,334 78,501 104,668 157,002 209,336 314,004 418,672 628,008 1,256,016

Collatz Trajectory (155 steps to reach 1)

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

1,256,016 628,008 314,004 157,002 78,501 235,504 117,752 58,876 29,438 14,719 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558 111,779 335,338 167,669 503,008 251,504 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806

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