21,352,825

5² × 13 × 65701

21,352,825 factors as 5^2 × 13 × 65701. Its 12 positive divisors give a proper-divisor sum of 7,161,843, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 65701

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 28,514,668

Proper Divisor Sum 7,161,843

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #21352801 ← → #21352843

Radix Representation

Decimal	21352825
Binary	1010001011101000101111001 (25 bits)
Octal	0o121350571
Hexadecimal	0x145D179

Divisor Catalog (12)

1 5 13 25 65 325 65,701 328,505 854,113 1,642,525 4,270,565 21,352,825

Collatz Trajectory (120 steps to reach 1)

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

21,352,825 64,058,476 32,029,238 16,014,619 48,043,858 24,021,929 72,065,788 36,032,894 18,016,447 54,049,342 27,024,671 81,074,014 40,537,007 121,611,022 60,805,511 182,416,534 91,208,267 273,624,802 136,812,401 410,437,204 205,218,602 102,609,301 307,827,904 153,913,952 76,956,976 38,478,488 19,239,244 9,619,622 4,809,811 14,429,434 7,214,717 21,644,152 10,822,076 5,411,038 2,705,519 8,116,558 4,058,279 12,174,838 6,087,419 18,262,258 9,131,129 27,393,388 13,696,694 6,848,347 20,545,042 10,272,521 30,817,564 15,408,782 7,704,391 23,113,174 11,556,587 34,669,762 17,334,881 52,004,644 26,002,322 13,001,161 39,003,484 19,501,742 9,750,871 29,252,614

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