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Atlas › Integer Profiles › Node 29,664,490

29,664,490

2 × 5 × 17 × 211 × 827
Deficient Even Composite

29,664,490 factors as 2 × 5 × 17 × 211 × 827. Its 32 positive divisors give a proper-divisor sum of 27,209,174, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 211 × 827
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,873,664
Proper Divisor Sum 27,209,174
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #29664487 ← → #29664493

Radix Representation

Decimal 29664490
Binary 1110001001010010011101010 (25 bits)
Octal 0o161122352
Hexadecimal 0x1C4A4EA

Divisor Catalog (32)

1 2 5 10 17 34 85 170 211 422 827 1,055 1,654 2,110 3,587 4,135 7,174 8,270 14,059 17,935 28,118 35,870 70,295 140,590 174,497 348,994 872,485 1,744,970 2,966,449 5,932,898 14,832,245 29,664,490

Collatz Trajectory (175 steps to reach 1)

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

29,664,490 14,832,245 44,496,736 22,248,368 11,124,184 5,562,092 2,781,046 1,390,523 4,171,570 2,085,785 6,257,356 3,128,678 1,564,339 4,693,018 2,346,509 7,039,528 3,519,764 1,759,882 879,941 2,639,824 1,319,912 659,956 329,978 164,989 494,968 247,484 123,742 61,871 185,614 92,807 278,422 139,211 417,634 208,817 626,452 313,226 156,613 469,840 234,920 117,460 58,730 29,365 88,096 44,048 22,024 11,012 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872

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