36,958,831

7 × 13 × 461 × 881

36,958,831 factors as 7 × 13 × 461 × 881. Its 16 positive divisors give a proper-divisor sum of 8,679,377, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 7 × 13 × 461 × 881

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 45,638,208

Proper Divisor Sum 8,679,377

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #36958813 ← → #36958853

Radix Representation

Decimal	36958831
Binary	10001100111111001001101111 (26 bits)
Octal	0o214771157
Hexadecimal	0x233F26F

Divisor Catalog (16)

1 7 13 91 461 881 3,227 5,993 6,167 11,453 41,951 80,171 406,141 2,842,987 5,279,833 36,958,831

Collatz Trajectory (165 steps to reach 1)

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

36,958,831 110,876,494 55,438,247 166,314,742 83,157,371 249,472,114 124,736,057 374,208,172 187,104,086 93,552,043 280,656,130 140,328,065 420,984,196 210,492,098 105,246,049 315,738,148 157,869,074 78,934,537 236,803,612 118,401,806 59,200,903 177,602,710 88,801,355 266,404,066 133,202,033 399,606,100 199,803,050 99,901,525 299,704,576 149,852,288 74,926,144 37,463,072 18,731,536 9,365,768 4,682,884 2,341,442 1,170,721 3,512,164 1,756,082 878,041 2,634,124 1,317,062 658,531 1,975,594 987,797 2,963,392 1,481,696 740,848 370,424 185,212 92,606 46,303 138,910 69,455 208,366 104,183 312,550 156,275 468,826 234,413

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