8,223,518

2 × 139 × 29581

Starting at 8,223,518, the Collatz iteration reaches 1 after 142 steps. The first transition is 4111759; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 139 × 29581

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,424,440

Proper Divisor Sum 4,200,922

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8223499 ← → #8223541

Radix Representation

Decimal	8223518
Binary	11111010111101100011110 (23 bits)
Octal	0o37275436
Hexadecimal	0x7D7B1E

Divisor Catalog (8)

1 2 139 278 29,581 59,162 4,111,759 8,223,518

Collatz Trajectory (142 steps to reach 1)

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

8,223,518 4,111,759 12,335,278 6,167,639 18,502,918 9,251,459 27,754,378 13,877,189 41,631,568 20,815,784 10,407,892 5,203,946 2,601,973 7,805,920 3,902,960 1,951,480 975,740 487,870 243,935 731,806 365,903 1,097,710 548,855 1,646,566 823,283 2,469,850 1,234,925 3,704,776 1,852,388 926,194 463,097 1,389,292 694,646 347,323 1,041,970 520,985 1,562,956 781,478 390,739 1,172,218 586,109 1,758,328 879,164 439,582 219,791 659,374 329,687 989,062 494,531 1,483,594 741,797 2,225,392 1,112,696 556,348 278,174 139,087 417,262 208,631 625,894 312,947

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