λ
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Atlas › Integer Profiles › Node 29,132,004

29,132,004

22 × 3 × 11 × 83 × 2659
Abundant Even Composite

29,132,004 factors as 2^2 × 3 × 11 × 83 × 2659. Its 48 positive divisors give a proper-divisor sum of 45,943,836, so this integer is abundant. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 83 × 2659
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 75,075,840
Proper Divisor Sum 45,943,836
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #29132003 ← → #29132009

Radix Representation

Decimal 29132004
Binary 1101111001000010011100100 (25 bits)
Octal 0o157102344
Hexadecimal 0x1BC84E4

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1,826 2,659 2,739 3,652 5,318 5,478 7,977 10,636 10,956 15,954 29,249 31,908 58,498 87,747 116,996 175,494 220,697 350,988 441,394 662,091 882,788 1,324,182 2,427,667 2,648,364 4,855,334 7,283,001 9,710,668 14,566,002 29,132,004

Collatz Trajectory (237 steps to reach 1)

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

29,132,004 14,566,002 7,283,001 21,849,004 10,924,502 5,462,251 16,386,754 8,193,377 24,580,132 12,290,066 6,145,033 18,435,100 9,217,550 4,608,775 13,826,326 6,913,163 20,739,490 10,369,745 31,109,236 15,554,618 7,777,309 23,331,928 11,665,964 5,832,982 2,916,491 8,749,474 4,374,737 13,124,212 6,562,106 3,281,053 9,843,160 4,921,580 2,460,790 1,230,395 3,691,186 1,845,593 5,536,780 2,768,390 1,384,195 4,152,586 2,076,293 6,228,880 3,114,440 1,557,220 778,610 389,305 1,167,916 583,958 291,979 875,938 437,969 1,313,908 656,954 328,477 985,432 492,716 246,358 123,179 369,538 184,769

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