48,678,707

7² × 11 × 90313

48,678,707 factors as 7^2 × 11 × 90313. Its 12 positive divisors give a proper-divisor sum of 13,096,069, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 7^2 × 11 × 90313

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 61,774,776

Proper Divisor Sum 13,096,069

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #48678697 ← → #48678713

Radix Representation

Decimal	48678707
Binary	10111001101100011100110011 (26 bits)
Octal	0o271543463
Hexadecimal	0x2E6C733

Divisor Catalog (12)

1 7 11 49 77 539 90,313 632,191 993,443 4,425,337 6,954,101 48,678,707

Collatz Trajectory (230 steps to reach 1)

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

48,678,707 146,036,122 73,018,061 219,054,184 109,527,092 54,763,546 27,381,773 82,145,320 41,072,660 20,536,330 10,268,165 30,804,496 15,402,248 7,701,124 3,850,562 1,925,281 5,775,844 2,887,922 1,443,961 4,331,884 2,165,942 1,082,971 3,248,914 1,624,457 4,873,372 2,436,686 1,218,343 3,655,030 1,827,515 5,482,546 2,741,273 8,223,820 4,111,910 2,055,955 6,167,866 3,083,933 9,251,800 4,625,900 2,312,950 1,156,475 3,469,426 1,734,713 5,204,140 2,602,070 1,301,035 3,903,106 1,951,553 5,854,660 2,927,330 1,463,665 4,390,996 2,195,498 1,097,749 3,293,248 1,646,624 823,312 411,656 205,828 102,914 51,457

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