61,380,340

2² × 5 × 7² × 62633

61,380,340 factors as 2^2 × 5 × 7^2 × 62633. Its 36 positive divisors give a proper-divisor sum of 88,565,456, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 62633

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 149,945,796

Proper Divisor Sum 88,565,456

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #61380331 ← → #61380359

Radix Representation

Decimal	61380340
Binary	11101010001001011011110100 (26 bits)
Octal	0o352113364
Hexadecimal	0x3A896F4

Divisor Catalog (36)

Collatz Trajectory (176 steps to reach 1)

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

61,380,340 30,690,170 15,345,085 46,035,256 23,017,628 11,508,814 5,754,407 17,263,222 8,631,611 25,894,834 12,947,417 38,842,252 19,421,126 9,710,563 29,131,690 14,565,845 43,697,536 21,848,768 10,924,384 5,462,192 2,731,096 1,365,548 682,774 341,387 1,024,162 512,081 1,536,244 768,122 384,061 1,152,184 576,092 288,046 144,023 432,070 216,035 648,106 324,053 972,160 486,080 243,040 121,520 60,760 30,380 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817

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