5,004,008

2³ × 29 × 21569

For 5,004,008, the 16 positive divisors have a total of 9,706,500. Removing 5,004,008 leaves 4,702,492, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 29 × 21569

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,706,500

Proper Divisor Sum 4,702,492

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #5004007 ← → #5004017

Radix Representation

Decimal	5004008
Binary	10011000101101011101000 (23 bits)
Octal	0o23055350
Hexadecimal	0x4C5AE8

Divisor Catalog (16)

1 2 4 8 29 58 116 232 21,569 43,138 86,276 172,552 625,501 1,251,002 2,502,004 5,004,008

Collatz Trajectory (82 steps to reach 1)

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

5,004,008 2,502,004 1,251,002 625,501 1,876,504 938,252 469,126 234,563 703,690 351,845 1,055,536 527,768 263,884 131,942 65,971 197,914 98,957 296,872 148,436 74,218 37,109 111,328 55,664 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148

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