45,309,636

2² × 3² × 1258601

45,309,636 factors as 2^2 × 3^2 × 1258601. Its 18 positive divisors give a proper-divisor sum of 69,223,146, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 1258601

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 114,532,782

Proper Divisor Sum 69,223,146

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #45309619 ← → #45309637

Radix Representation

Decimal	45309636
Binary	10101100110101111011000100 (26 bits)
Octal	0o254657304
Hexadecimal	0x2B35EC4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 1,258,601 2,517,202 3,775,803 5,034,404 7,551,606 11,327,409 15,103,212 22,654,818 45,309,636

Collatz Trajectory (173 steps to reach 1)

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

45,309,636 22,654,818 11,327,409 33,982,228 16,991,114 8,495,557 25,486,672 12,743,336 6,371,668 3,185,834 1,592,917 4,778,752 2,389,376 1,194,688 597,344 298,672 149,336 74,668 37,334 18,667 56,002 28,001 84,004 42,002 21,001 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

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