61,397,672

2³ × 7 × 23 × 73 × 653

61,397,672 factors as 2^3 × 7 × 23 × 73 × 653. Its 64 positive divisors give a proper-divisor sum of 77,982,808, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 23 × 73 × 653

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 139,380,480

Proper Divisor Sum 77,982,808

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #61397671 ← → #61397681

Radix Representation

Decimal	61397672
Binary	11101010001101101010101000 (26 bits)
Octal	0o352155250
Hexadecimal	0x3A8DAA8

Divisor Catalog (60 of 64)

1 2 4 7 8 14 23 28 46 56 73 92 146 161 184 292 322 511 584 644 653 1,022 1,288 1,306 1,679 2,044 2,612 3,358 4,088 4,571 5,224 6,716 9,142 11,753 13,432 15,019 18,284 23,506 30,038 36,568 47,012 47,669 60,076 94,024 95,338 105,133 120,152 190,676 210,266 333,683 381,352 420,532 667,366 841,064 1,096,387 1,334,732 2,192,774 2,669,464 4,385,548 7,674,709

Collatz Trajectory (220 steps to reach 1)

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

61,397,672 30,698,836 15,349,418 7,674,709 23,024,128 11,512,064 5,756,032 2,878,016 1,439,008 719,504 359,752 179,876 89,938 44,969 134,908 67,454 33,727 101,182 50,591 151,774 75,887 227,662 113,831 341,494 170,747 512,242 256,121 768,364 384,182 192,091 576,274 288,137 864,412 432,206 216,103 648,310 324,155 972,466 486,233 1,458,700 729,350 364,675 1,094,026 547,013 1,641,040 820,520 410,260 205,130 102,565 307,696 153,848 76,924 38,462 19,231 57,694 28,847 86,542 43,271 129,814 64,907

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