29,630,014

2 × 17² × 51263

29,630,014 factors as 2 × 17^2 × 51263. Its 12 positive divisors give a proper-divisor sum of 17,584,130, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2 × 17^2 × 51263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 47,214,144

Proper Divisor Sum 17,584,130

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #29630011 ← → #29630023

Radix Representation

Decimal	29630014
Binary	1110001000001111000111110 (25 bits)
Octal	0o161017076
Hexadecimal	0x1C41E3E

Divisor Catalog (12)

1 2 17 34 289 578 51,263 102,526 871,471 1,742,942 14,815,007 29,630,014

Collatz Trajectory (219 steps to reach 1)

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

29,630,014 14,815,007 44,445,022 22,222,511 66,667,534 33,333,767 100,001,302 50,000,651 150,001,954 75,000,977 225,002,932 112,501,466 56,250,733 168,752,200 84,376,100 42,188,050 21,094,025 63,282,076 31,641,038 15,820,519 47,461,558 23,730,779 71,192,338 35,596,169 106,788,508 53,394,254 26,697,127 80,091,382 40,045,691 120,137,074 60,068,537 180,205,612 90,102,806 45,051,403 135,154,210 67,577,105 202,731,316 101,365,658 50,682,829 152,048,488 76,024,244 38,012,122 19,006,061 57,018,184 28,509,092 14,254,546 7,127,273 21,381,820 10,690,910 5,345,455 16,036,366 8,018,183 24,054,550 12,027,275 36,081,826 18,040,913 54,122,740 27,061,370 13,530,685 40,592,056

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