55,215,976

2³ × 19 × 47 × 59 × 131

55,215,976 factors as 2^3 × 19 × 47 × 59 × 131. Its 64 positive divisors give a proper-divisor sum of 58,832,024, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 47 × 59 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 114,048,000

Proper Divisor Sum 58,832,024

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #55215911 ← → #55215977

Radix Representation

Decimal	55215976
Binary	11010010101000011101101000 (26 bits)
Octal	0o322503550
Hexadecimal	0x34A8768

Divisor Catalog (60 of 64)

1 2 4 8 19 38 47 59 76 94 118 131 152 188 236 262 376 472 524 893 1,048 1,121 1,786 2,242 2,489 2,773 3,572 4,484 4,978 5,546 6,157 7,144 7,729 8,968 9,956 11,092 12,314 15,458 19,912 22,184 24,628 30,916 49,256 52,687 61,832 105,374 116,983 146,851 210,748 233,966 293,702 363,263 421,496 467,932 587,404 726,526 935,864 1,174,808 1,453,052 2,906,104

Collatz Trajectory (132 steps to reach 1)

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

55,215,976 27,607,988 13,803,994 6,901,997 20,705,992 10,352,996 5,176,498 2,588,249 7,764,748 3,882,374 1,941,187 5,823,562 2,911,781 8,735,344 4,367,672 2,183,836 1,091,918 545,959 1,637,878 818,939 2,456,818 1,228,409 3,685,228 1,842,614 921,307 2,763,922 1,381,961 4,145,884 2,072,942 1,036,471 3,109,414 1,554,707 4,664,122 2,332,061 6,996,184 3,498,092 1,749,046 874,523 2,623,570 1,311,785 3,935,356 1,967,678 983,839 2,951,518 1,475,759 4,427,278 2,213,639 6,640,918 3,320,459 9,961,378 4,980,689 14,942,068 7,471,034 3,735,517 11,206,552 5,603,276 2,801,638 1,400,819 4,202,458 2,101,229

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