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Atlas › Integer Profiles › Node 48,062,865

48,062,865

3 × 5 × 31 × 41 × 2521
Deficient Odd Composite

48,062,865 factors as 3 × 5 × 31 × 41 × 2521. Its 32 positive divisors give a proper-divisor sum of 33,286,767, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 41 × 2521
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,349,632
Proper Divisor Sum 33,286,767
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #48062849 ← → #48062879

Radix Representation

Decimal 48062865
Binary 10110111010110000110010001 (26 bits)
Octal 0o267260621
Hexadecimal 0x2DD6191

Divisor Catalog (32)

1 3 5 15 31 41 93 123 155 205 465 615 1,271 2,521 3,813 6,355 7,563 12,605 19,065 37,815 78,151 103,361 234,453 310,083 390,755 516,805 1,172,265 1,550,415 3,204,191 9,612,573 16,020,955 48,062,865

Collatz Trajectory (98 steps to reach 1)

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

48,062,865 144,188,596 72,094,298 36,047,149 108,141,448 54,070,724 27,035,362 13,517,681 40,553,044 20,276,522 10,138,261 30,414,784 15,207,392 7,603,696 3,801,848 1,900,924 950,462 475,231 1,425,694 712,847 2,138,542 1,069,271 3,207,814 1,603,907 4,811,722 2,405,861 7,217,584 3,608,792 1,804,396 902,198 451,099 1,353,298 676,649 2,029,948 1,014,974 507,487 1,522,462 761,231 2,283,694 1,141,847 3,425,542 1,712,771 5,138,314 2,569,157 7,707,472 3,853,736 1,926,868 963,434 481,717 1,445,152 722,576 361,288 180,644 90,322 45,161 135,484 67,742 33,871 101,614 50,807

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