61,509,362

2 × 53 × 73 × 7949

61,509,362 factors as 2 × 53 × 73 × 7949. Its 16 positive divisors give a proper-divisor sum of 33,795,238, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 53 × 73 × 7949

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 95,304,600

Proper Divisor Sum 33,795,238

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #61509317 ← → #61509367

Radix Representation

Decimal	61509362
Binary	11101010101000111011110010 (26 bits)
Octal	0o352507362
Hexadecimal	0x3AA8EF2

Divisor Catalog (16)

1 2 53 73 106 146 3,869 7,738 7,949 15,898 421,297 580,277 842,594 1,160,554 30,754,681 61,509,362

Collatz Trajectory (114 steps to reach 1)

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

61,509,362 30,754,681 92,264,044 46,132,022 23,066,011 69,198,034 34,599,017 103,797,052 51,898,526 25,949,263 77,847,790 38,923,895 116,771,686 58,385,843 175,157,530 87,578,765 262,736,296 131,368,148 65,684,074 32,842,037 98,526,112 49,263,056 24,631,528 12,315,764 6,157,882 3,078,941 9,236,824 4,618,412 2,309,206 1,154,603 3,463,810 1,731,905 5,195,716 2,597,858 1,298,929 3,896,788 1,948,394 974,197 2,922,592 1,461,296 730,648 365,324 182,662 91,331 273,994 136,997 410,992 205,496 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348 21,674 10,837

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