21,365,980

2² × 5 × 167 × 6397

21,365,980 factors as 2^2 × 5 × 167 × 6397. Its 24 positive divisors give a proper-divisor sum of 23,778,308, so this integer is abundant. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 167 × 6397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 45,144,288

Proper Divisor Sum 23,778,308

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #21365947 ← → #21365987

Radix Representation

Decimal	21365980
Binary	1010001100000010011011100 (25 bits)
Octal	0o121402334
Hexadecimal	0x14604DC

Divisor Catalog (24)

Collatz Trajectory (265 steps to reach 1)

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

21,365,980 10,682,990 5,341,495 16,024,486 8,012,243 24,036,730 12,018,365 36,055,096 18,027,548 9,013,774 4,506,887 13,520,662 6,760,331 20,280,994 10,140,497 30,421,492 15,210,746 7,605,373 22,816,120 11,408,060 5,704,030 2,852,015 8,556,046 4,278,023 12,834,070 6,417,035 19,251,106 9,625,553 28,876,660 14,438,330 7,219,165 21,657,496 10,828,748 5,414,374 2,707,187 8,121,562 4,060,781 12,182,344 6,091,172 3,045,586 1,522,793 4,568,380 2,284,190 1,142,095 3,426,286 1,713,143 5,139,430 2,569,715 7,709,146 3,854,573 11,563,720 5,781,860 2,890,930 1,445,465 4,336,396 2,168,198 1,084,099 3,252,298 1,626,149 4,878,448

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