21,342,490

2 × 5 × 13 × 164173

21,342,490 factors as 2 × 5 × 13 × 164173. Its 16 positive divisors give a proper-divisor sum of 20,029,358, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 164173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 41,371,848

Proper Divisor Sum 20,029,358

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #21342487 ← → #21342493

Radix Representation

Decimal	21342490
Binary	1010001011010100100011010 (25 bits)
Octal	0o121324432
Hexadecimal	0x145A91A

Divisor Catalog (16)

1 2 5 10 13 26 65 130 164,173 328,346 820,865 1,641,730 2,134,249 4,268,498 10,671,245 21,342,490

Collatz Trajectory (120 steps to reach 1)

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

21,342,490 10,671,245 32,013,736 16,006,868 8,003,434 4,001,717 12,005,152 6,002,576 3,001,288 1,500,644 750,322 375,161 1,125,484 562,742 281,371 844,114 422,057 1,266,172 633,086 316,543 949,630 474,815 1,424,446 712,223 2,136,670 1,068,335 3,205,006 1,602,503 4,807,510 2,403,755 7,211,266 3,605,633 10,816,900 5,408,450 2,704,225 8,112,676 4,056,338 2,028,169 6,084,508 3,042,254 1,521,127 4,563,382 2,281,691 6,845,074 3,422,537 10,267,612 5,133,806 2,566,903 7,700,710 3,850,355 11,551,066 5,775,533 17,326,600 8,663,300 4,331,650 2,165,825 6,497,476 3,248,738 1,624,369 4,873,108

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