27,409,231

67 × 577 × 709

27,409,231 factors as 67 × 577 × 709. Its 8 positive divisors give a proper-divisor sum of 496,609, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 67 × 577 × 709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 27,905,840

Proper Divisor Sum 496,609

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #27409223 ← → #27409243

Radix Representation

Decimal	27409231
Binary	1101000100011101101001111 (25 bits)
Octal	0o150435517
Hexadecimal	0x1A23B4F

Divisor Catalog (8)

1 67 577 709 38,659 47,503 409,093 27,409,231

Collatz Trajectory (162 steps to reach 1)

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

27,409,231 82,227,694 41,113,847 123,341,542 61,670,771 185,012,314 92,506,157 277,518,472 138,759,236 69,379,618 34,689,809 104,069,428 52,034,714 26,017,357 78,052,072 39,026,036 19,513,018 9,756,509 29,269,528 14,634,764 7,317,382 3,658,691 10,976,074 5,488,037 16,464,112 8,232,056 4,116,028 2,058,014 1,029,007 3,087,022 1,543,511 4,630,534 2,315,267 6,945,802 3,472,901 10,418,704 5,209,352 2,604,676 1,302,338 651,169 1,953,508 976,754 488,377 1,465,132 732,566 366,283 1,098,850 549,425 1,648,276 824,138 412,069 1,236,208 618,104 309,052 154,526 77,263 231,790 115,895 347,686 173,843

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