36,918,436

2² × 73 × 126433

36,918,436 factors as 2^2 × 73 × 126433. Its 12 positive divisors give a proper-divisor sum of 28,574,376, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 73 × 126433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 65,492,812

Proper Divisor Sum 28,574,376

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #36918433 ← → #36918437

Radix Representation

Decimal	36918436
Binary	10001100110101010010100100 (26 bits)
Octal	0o214652244
Hexadecimal	0x23354A4

Divisor Catalog (12)

1 2 4 73 146 292 126,433 252,866 505,732 9,229,609 18,459,218 36,918,436

Collatz Trajectory (103 steps to reach 1)

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

36,918,436 18,459,218 9,229,609 27,688,828 13,844,414 6,922,207 20,766,622 10,383,311 31,149,934 15,574,967 46,724,902 23,362,451 70,087,354 35,043,677 105,131,032 52,565,516 26,282,758 13,141,379 39,424,138 19,712,069 59,136,208 29,568,104 14,784,052 7,392,026 3,696,013 11,088,040 5,544,020 2,772,010 1,386,005 4,158,016 2,079,008 1,039,504 519,752 259,876 129,938 64,969 194,908 97,454 48,727 146,182 73,091 219,274 109,637 328,912 164,456 82,228 41,114 20,557 61,672 30,836 15,418 7,709 23,128 11,564 5,782 2,891 8,674 4,337 13,012 6,506

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