1,636,540

2² × 5 × 47 × 1741

1,636,540 factors as 2^2 × 5 × 47 × 1741. Its 24 positive divisors give a proper-divisor sum of 1,875,332, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 1741

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,511,872

Proper Divisor Sum 1,875,332

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1636529 ← → #1636541

Radix Representation

Decimal	1636540
Binary	110001111100010111100 (21 bits)
Octal	0o6174274
Hexadecimal	0x18F8BC

Divisor Catalog (24)

Collatz Trajectory (220 steps to reach 1)

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

1,636,540 818,270 409,135 1,227,406 613,703 1,841,110 920,555 2,761,666 1,380,833 4,142,500 2,071,250 1,035,625 3,106,876 1,553,438 776,719 2,330,158 1,165,079 3,495,238 1,747,619 5,242,858 2,621,429 7,864,288 3,932,144 1,966,072 983,036 491,518 245,759 737,278 368,639 1,105,918 552,959 1,658,878 829,439 2,488,318 1,244,159 3,732,478 1,866,239 5,598,718 2,799,359 8,398,078 4,199,039 12,597,118 6,298,559 18,895,678 9,447,839 28,343,518 14,171,759 42,515,278 21,257,639 63,772,918 31,886,459 95,659,378 47,829,689 143,489,068 71,744,534 35,872,267 107,616,802 53,808,401 161,425,204 80,712,602

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