λ
Match Zalai

4,999,625

53 × 23 × 37 × 47
Deficient Odd Composite

4,999,625 factors as 5^3 × 23 × 37 × 47. Its 32 positive divisors give a proper-divisor sum of 1,829,431, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 5^3 × 23 × 37 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,829,056
Proper Divisor Sum 1,829,431
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4999613 ← → #4999627

Radix Representation

Decimal 4999625
Binary 10011000100100111001001 (23 bits)
Octal 0o23044711
Hexadecimal 0x4C49C9

Divisor Catalog (32)

1 5 23 25 37 47 115 125 185 235 575 851 925 1,081 1,175 1,739 2,875 4,255 4,625 5,405 5,875 8,695 21,275 27,025 39,997 43,475 106,375 135,125 199,985 217,375 999,925 4,999,625

Collatz Trajectory (136 steps to reach 1)

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

4,999,625 14,998,876 7,499,438 3,749,719 11,249,158 5,624,579 16,873,738 8,436,869 25,310,608 12,655,304 6,327,652 3,163,826 1,581,913 4,745,740 2,372,870 1,186,435 3,559,306 1,779,653 5,338,960 2,669,480 1,334,740 667,370 333,685 1,001,056 500,528 250,264 125,132 62,566 31,283 93,850 46,925 140,776 70,388 35,194 17,597 52,792 26,396 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287

More profiles

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