21,072,575

5² × 317 × 2659

21,072,575 factors as 5^2 × 317 × 2659. Its 12 positive divisors give a proper-divisor sum of 5,149,705, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 5^2 × 317 × 2659

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 26,222,280

Proper Divisor Sum 5,149,705

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #21072559 ← → #21072581

Radix Representation

Decimal	21072575
Binary	1010000011000101010111111 (25 bits)
Octal	0o120305277
Hexadecimal	0x1418ABF

Divisor Catalog (12)

1 5 25 317 1,585 2,659 7,925 13,295 66,475 842,903 4,214,515 21,072,575

Collatz Trajectory (221 steps to reach 1)

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

21,072,575 63,217,726 31,608,863 94,826,590 47,413,295 142,239,886 71,119,943 213,359,830 106,679,915 320,039,746 160,019,873 480,059,620 240,029,810 120,014,905 360,044,716 180,022,358 90,011,179 270,033,538 135,016,769 405,050,308 202,525,154 101,262,577 303,787,732 151,893,866 75,946,933 227,840,800 113,920,400 56,960,200 28,480,100 14,240,050 7,120,025 21,360,076 10,680,038 5,340,019 16,020,058 8,010,029 24,030,088 12,015,044 6,007,522 3,003,761 9,011,284 4,505,642 2,252,821 6,758,464 3,379,232 1,689,616 844,808 422,404 211,202 105,601 316,804 158,402 79,201 237,604 118,802 59,401 178,204 89,102 44,551 133,654

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