λ
Integer Codex

4,625,807

4625807
Deficient Odd Prime

For 4,625,807, the 2 positive divisors have a total of 4,625,808. Removing 4,625,807 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4625807
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,625,808
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4625801 ← → #4625843

Radix Representation

Decimal 4625807
Binary 10001101001010110001111 (23 bits)
Octal 0o21512617
Hexadecimal 0x46958F

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

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

4,625,807 13,877,422 6,938,711 20,816,134 10,408,067 31,224,202 15,612,101 46,836,304 23,418,152 11,709,076 5,854,538 2,927,269 8,781,808 4,390,904 2,195,452 1,097,726 548,863 1,646,590 823,295 2,469,886 1,234,943 3,704,830 1,852,415 5,557,246 2,778,623 8,335,870 4,167,935 12,503,806 6,251,903 18,755,710 9,377,855 28,133,566 14,066,783 42,200,350 21,100,175 63,300,526 31,650,263 94,950,790 47,475,395 142,426,186 71,213,093 213,639,280 106,819,640 53,409,820 26,704,910 13,352,455 40,057,366 20,028,683 60,086,050 30,043,025 90,129,076 45,064,538 22,532,269 67,596,808 33,798,404 16,899,202 8,449,601 25,348,804 12,674,402 6,337,201

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