8,002,715

5 × 7 × 373 × 613

Starting at 8,002,715, the Collatz iteration reaches 1 after 367 steps. The first transition is 24008146; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 373 × 613

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,022,528

Proper Divisor Sum 3,019,813

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8002697 ← → #8002721

Radix Representation

Decimal	8002715
Binary	11110100001110010011011 (23 bits)
Octal	0o36416233
Hexadecimal	0x7A1C9B

Divisor Catalog (16)

1 5 7 35 373 613 1,865 2,611 3,065 4,291 13,055 21,455 228,649 1,143,245 1,600,543 8,002,715

Collatz Trajectory (367 steps to reach 1)

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

8,002,715 24,008,146 12,004,073 36,012,220 18,006,110 9,003,055 27,009,166 13,504,583 40,513,750 20,256,875 60,770,626 30,385,313 91,155,940 45,577,970 22,788,985 68,366,956 34,183,478 17,091,739 51,275,218 25,637,609 76,912,828 38,456,414 19,228,207 57,684,622 28,842,311 86,526,934 43,263,467 129,790,402 64,895,201 194,685,604 97,342,802 48,671,401 146,014,204 73,007,102 36,503,551 109,510,654 54,755,327 164,265,982 82,132,991 246,398,974 123,199,487 369,598,462 184,799,231 554,397,694 277,198,847 831,596,542 415,798,271 1,247,394,814 623,697,407 1,871,092,222 935,546,111 2,806,638,334 1,403,319,167 4,209,957,502 2,104,978,751 6,314,936,254 3,157,468,127 9,472,404,382 4,736,202,191 14,208,606,574

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