48,769,641

3³ × 487 × 3709

48,769,641 factors as 3^3 × 487 × 3709. Its 16 positive divisors give a proper-divisor sum of 23,649,559, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 3^3 × 487 × 3709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 72,419,200

Proper Divisor Sum 23,649,559

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #48769631 ← → #48769649

Radix Representation

Decimal	48769641
Binary	10111010000010101001101001 (26 bits)
Octal	0o272025151
Hexadecimal	0x2E82A69

Divisor Catalog (16)

1 3 9 27 487 1,461 3,709 4,383 11,127 13,149 33,381 100,143 1,806,283 5,418,849 16,256,547 48,769,641

Collatz Trajectory (230 steps to reach 1)

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

48,769,641 146,308,924 73,154,462 36,577,231 109,731,694 54,865,847 164,597,542 82,298,771 246,896,314 123,448,157 370,344,472 185,172,236 92,586,118 46,293,059 138,879,178 69,439,589 208,318,768 104,159,384 52,079,692 26,039,846 13,019,923 39,059,770 19,529,885 58,589,656 29,294,828 14,647,414 7,323,707 21,971,122 10,985,561 32,956,684 16,478,342 8,239,171 24,717,514 12,358,757 37,076,272 18,538,136 9,269,068 4,634,534 2,317,267 6,951,802 3,475,901 10,427,704 5,213,852 2,606,926 1,303,463 3,910,390 1,955,195 5,865,586 2,932,793 8,798,380 4,399,190 2,199,595 6,598,786 3,299,393 9,898,180 4,949,090 2,474,545 7,423,636 3,711,818 1,855,909

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