41,007,067

61 × 457 × 1471

41,007,067 factors as 61 × 457 × 1471. Its 8 positive divisors give a proper-divisor sum of 791,845, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 61 × 457 × 1471

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 41,798,912

Proper Divisor Sum 791,845

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #41007059 ← → #41007089

Radix Representation

Decimal	41007067
Binary	10011100011011011111011011 (26 bits)
Octal	0o234333733
Hexadecimal	0x271B7DB

Divisor Catalog (8)

1 61 457 1,471 27,877 89,731 672,247 41,007,067

Collatz Trajectory (191 steps to reach 1)

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

41,007,067 123,021,202 61,510,601 184,531,804 92,265,902 46,132,951 138,398,854 69,199,427 207,598,282 103,799,141 311,397,424 155,698,712 77,849,356 38,924,678 19,462,339 58,387,018 29,193,509 87,580,528 43,790,264 21,895,132 10,947,566 5,473,783 16,421,350 8,210,675 24,632,026 12,316,013 36,948,040 18,474,020 9,237,010 4,618,505 13,855,516 6,927,758 3,463,879 10,391,638 5,195,819 15,587,458 7,793,729 23,381,188 11,690,594 5,845,297 17,535,892 8,767,946 4,383,973 13,151,920 6,575,960 3,287,980 1,643,990 821,995 2,465,986 1,232,993 3,698,980 1,849,490 924,745 2,774,236 1,387,118 693,559 2,080,678 1,040,339 3,121,018 1,560,509

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