61,301,427

3 × 11 × 619 × 3001

61,301,427 factors as 3 × 11 × 619 × 3001. Its 16 positive divisors give a proper-divisor sum of 28,038,093, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 3 × 11 × 619 × 3001

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 89,339,520

Proper Divisor Sum 28,038,093

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #61301419 ← → #61301441

Radix Representation

Decimal	61301427
Binary	11101001110110001010110011 (26 bits)
Octal	0o351661263
Hexadecimal	0x3A762B3

Divisor Catalog (16)

1 3 11 33 619 1,857 3,001 6,809 9,003 20,427 33,011 99,033 1,857,619 5,572,857 20,433,809 61,301,427

Collatz Trajectory (127 steps to reach 1)

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

61,301,427 183,904,282 91,952,141 275,856,424 137,928,212 68,964,106 34,482,053 103,446,160 51,723,080 25,861,540 12,930,770 6,465,385 19,396,156 9,698,078 4,849,039 14,547,118 7,273,559 21,820,678 10,910,339 32,731,018 16,365,509 49,096,528 24,548,264 12,274,132 6,137,066 3,068,533 9,205,600 4,602,800 2,301,400 1,150,700 575,350 287,675 863,026 431,513 1,294,540 647,270 323,635 970,906 485,453 1,456,360 728,180 364,090 182,045 546,136 273,068 136,534 68,267 204,802 102,401 307,204 153,602 76,801 230,404 115,202 57,601 172,804 86,402 43,201 129,604 64,802

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