48,680,979

3 × 17 × 977²

48,680,979 factors as 3 × 17 × 977^2. Its 12 positive divisors give a proper-divisor sum of 20,115,525, so this integer is deficient. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 3 × 17 × 977^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 68,796,504

Proper Divisor Sum 20,115,525

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #48680971 ← → #48680987

Radix Representation

Decimal	48680979
Binary	10111001101101000000010011 (26 bits)
Octal	0o271550023
Hexadecimal	0x2E6D013

Divisor Catalog (12)

1 3 17 51 977 2,931 16,609 49,827 954,529 2,863,587 16,226,993 48,680,979

Collatz Trajectory (274 steps to reach 1)

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

48,680,979 146,042,938 73,021,469 219,064,408 109,532,204 54,766,102 27,383,051 82,149,154 41,074,577 123,223,732 61,611,866 30,805,933 92,417,800 46,208,900 23,104,450 11,552,225 34,656,676 17,328,338 8,664,169 25,992,508 12,996,254 6,498,127 19,494,382 9,747,191 29,241,574 14,620,787 43,862,362 21,931,181 65,793,544 32,896,772 16,448,386 8,224,193 24,672,580 12,336,290 6,168,145 18,504,436 9,252,218 4,626,109 13,878,328 6,939,164 3,469,582 1,734,791 5,204,374 2,602,187 7,806,562 3,903,281 11,709,844 5,854,922 2,927,461 8,782,384 4,391,192 2,195,596 1,097,798 548,899 1,646,698 823,349 2,470,048 1,235,024 617,512 308,756

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