36,970,458

2 × 3 × 7 × 880249

36,970,458 factors as 2 × 3 × 7 × 880249. Its 16 positive divisors give a proper-divisor sum of 47,533,542, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 880249

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 84,504,000

Proper Divisor Sum 47,533,542

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #36970457 ← → #36970459

Radix Representation

Decimal	36970458
Binary	10001101000001111111011010 (26 bits)
Octal	0o215017732
Hexadecimal	0x2341FDA

Divisor Catalog (16)

1 2 3 6 7 14 21 42 880,249 1,760,498 2,640,747 5,281,494 6,161,743 12,323,486 18,485,229 36,970,458

Collatz Trajectory (165 steps to reach 1)

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

36,970,458 18,485,229 55,455,688 27,727,844 13,863,922 6,931,961 20,795,884 10,397,942 5,198,971 15,596,914 7,798,457 23,395,372 11,697,686 5,848,843 17,546,530 8,773,265 26,319,796 13,159,898 6,579,949 19,739,848 9,869,924 4,934,962 2,467,481 7,402,444 3,701,222 1,850,611 5,551,834 2,775,917 8,327,752 4,163,876 2,081,938 1,040,969 3,122,908 1,561,454 780,727 2,342,182 1,171,091 3,513,274 1,756,637 5,269,912 2,634,956 1,317,478 658,739 1,976,218 988,109 2,964,328 1,482,164 741,082 370,541 1,111,624 555,812 277,906 138,953 416,860 208,430 104,215 312,646 156,323 468,970 234,485

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