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Atlas › Integer Profiles › Node 61,311,976

61,311,976

23 × 11 × 257 × 2711
Abundant Even Composite

61,311,976 factors as 2^3 × 11 × 257 × 2711. Its 32 positive divisors give a proper-divisor sum of 64,633,304, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 257 × 2711
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 125,945,280
Proper Divisor Sum 64,633,304
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #61311973 ← → #61311977

Radix Representation

Decimal 61311976
Binary 11101001111000101111101000 (26 bits)
Octal 0o351705750
Hexadecimal 0x3A78BE8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 257 514 1,028 2,056 2,711 2,827 5,422 5,654 10,844 11,308 21,688 22,616 29,821 59,642 119,284 238,568 696,727 1,393,454 2,786,908 5,573,816 7,663,997 15,327,994 30,655,988 61,311,976

Collatz Trajectory (114 steps to reach 1)

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

61,311,976 30,655,988 15,327,994 7,663,997 22,991,992 11,495,996 5,747,998 2,873,999 8,621,998 4,310,999 12,932,998 6,466,499 19,399,498 9,699,749 29,099,248 14,549,624 7,274,812 3,637,406 1,818,703 5,456,110 2,728,055 8,184,166 4,092,083 12,276,250 6,138,125 18,414,376 9,207,188 4,603,594 2,301,797 6,905,392 3,452,696 1,726,348 863,174 431,587 1,294,762 647,381 1,942,144 971,072 485,536 242,768 121,384 60,692 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802

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