λ
Integer Codex

5,078,567

13 × 19 × 29 × 709
Deficient Odd Composite

For 5,078,567, the 16 positive divisors have a total of 5,964,000. Removing 5,078,567 leaves 885,433, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 19 × 29 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,964,000
Proper Divisor Sum 885,433
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5078551 ← → #5078573

Radix Representation

Decimal 5078567
Binary 10011010111111000100111 (23 bits)
Octal 0o23277047
Hexadecimal 0x4D7E27

Divisor Catalog (16)

1 13 19 29 247 377 551 709 7,163 9,217 13,471 20,561 175,123 267,293 390,659 5,078,567

Collatz Trajectory (131 steps to reach 1)

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

5,078,567 15,235,702 7,617,851 22,853,554 11,426,777 34,280,332 17,140,166 8,570,083 25,710,250 12,855,125 38,565,376 19,282,688 9,641,344 4,820,672 2,410,336 1,205,168 602,584 301,292 150,646 75,323 225,970 112,985 338,956 169,478 84,739 254,218 127,109 381,328 190,664 95,332 47,666 23,833 71,500 35,750 17,875 53,626 26,813 80,440 40,220 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938 16,969 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218

More profiles

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