61,440,916

2² × 83 × 185063

61,440,916 factors as 2^2 × 83 × 185063. Its 12 positive divisors give a proper-divisor sum of 47,376,716, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 83 × 185063

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 108,817,632

Proper Divisor Sum 47,376,716

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #61440877 ← → #61440917

Radix Representation

Decimal	61440916
Binary	11101010011000001110010100 (26 bits)
Octal	0o352301624
Hexadecimal	0x3A98394

Divisor Catalog (12)

1 2 4 83 166 332 185,063 370,126 740,252 15,360,229 30,720,458 61,440,916

Collatz Trajectory (75 steps to reach 1)

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

61,440,916 30,720,458 15,360,229 46,080,688 23,040,344 11,520,172 5,760,086 2,880,043 8,640,130 4,320,065 12,960,196 6,480,098 3,240,049 9,720,148 4,860,074 2,430,037 7,290,112 3,645,056 1,822,528 911,264 455,632 227,816 113,908 56,954 28,477 85,432 42,716 21,358 10,679 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808

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