8,728,473

3 × 13 × 79 × 2833

Starting at 8,728,473, the Collatz iteration reaches 1 after 212 steps. The first transition is 26185420; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 79 × 2833

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,696,320

Proper Divisor Sum 3,967,847

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8728471 ← → #8728481

Radix Representation

Decimal	8728473
Binary	100001010010111110011001 (24 bits)
Octal	0o41227631
Hexadecimal	0x852F99

Divisor Catalog (16)

1 3 13 39 79 237 1,027 2,833 3,081 8,499 36,829 110,487 223,807 671,421 2,909,491 8,728,473

Collatz Trajectory (212 steps to reach 1)

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

8,728,473 26,185,420 13,092,710 6,546,355 19,639,066 9,819,533 29,458,600 14,729,300 7,364,650 3,682,325 11,046,976 5,523,488 2,761,744 1,380,872 690,436 345,218 172,609 517,828 258,914 129,457 388,372 194,186 97,093 291,280 145,640 72,820 36,410 18,205 54,616 27,308 13,654 6,827 20,482 10,241 30,724 15,362 7,681 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402

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