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Atlas › Integer Profiles › Node 36,970,336

36,970,336

25 × 13 × 181 × 491
Abundant Even Composite

36,970,336 factors as 2^5 × 13 × 181 × 491. Its 48 positive divisors give a proper-divisor sum of 42,007,472, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 181 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 78,977,808
Proper Divisor Sum 42,007,472
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #36970303 ← → #36970337

Radix Representation

Decimal 36970336
Binary 10001101000001111101100000 (26 bits)
Octal 0o215017540
Hexadecimal 0x2341F60

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 104 181 208 362 416 491 724 982 1,448 1,964 2,353 2,896 3,928 4,706 5,792 6,383 7,856 9,412 12,766 15,712 18,824 25,532 37,648 51,064 75,296 88,871 102,128 177,742 204,256 355,484 710,968 1,155,323 1,421,936 2,310,646 2,843,872 4,621,292 9,242,584 18,485,168 36,970,336

Collatz Trajectory (227 steps to reach 1)

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

36,970,336 18,485,168 9,242,584 4,621,292 2,310,646 1,155,323 3,465,970 1,732,985 5,198,956 2,599,478 1,299,739 3,899,218 1,949,609 5,848,828 2,924,414 1,462,207 4,386,622 2,193,311 6,579,934 3,289,967 9,869,902 4,934,951 14,804,854 7,402,427 22,207,282 11,103,641 33,310,924 16,655,462 8,327,731 24,983,194 12,491,597 37,474,792 18,737,396 9,368,698 4,684,349 14,053,048 7,026,524 3,513,262 1,756,631 5,269,894 2,634,947 7,904,842 3,952,421 11,857,264 5,928,632 2,964,316 1,482,158 741,079 2,223,238 1,111,619 3,334,858 1,667,429 5,002,288 2,501,144 1,250,572 625,286 312,643 937,930 468,965 1,406,896

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