4,372,004

2² × 7 × 13 × 12011

For 4,372,004, the 24 positive divisors have a total of 9,417,408. Removing 4,372,004 leaves 5,045,404, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 12011

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,417,408

Proper Divisor Sum 5,045,404

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4372003 ← → #4372007

Radix Representation

Decimal	4372004
Binary	10000101011011000100100 (23 bits)
Octal	0o20533044
Hexadecimal	0x42B624

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 12,011 24,022 48,044 84,077 156,143 168,154 312,286 336,308 624,572 1,093,001 2,186,002 4,372,004

Collatz Trajectory (180 steps to reach 1)

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

4,372,004 2,186,002 1,093,001 3,279,004 1,639,502 819,751 2,459,254 1,229,627 3,688,882 1,844,441 5,533,324 2,766,662 1,383,331 4,149,994 2,074,997 6,224,992 3,112,496 1,556,248 778,124 389,062 194,531 583,594 291,797 875,392 437,696 218,848 109,424 54,712 27,356 13,678 6,839 20,518 10,259 30,778 15,389 46,168 23,084 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772

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