8,413,688

2³ × 73 × 14407

Starting at 8,413,688, the Collatz iteration reaches 1 after 230 steps. The first transition is 4206844; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 73 × 14407

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,992,880

Proper Divisor Sum 7,579,192

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8413687 ← → #8413693

Radix Representation

Decimal	8413688
Binary	100000000110000111111000 (24 bits)
Octal	0o40060770
Hexadecimal	0x8061F8

Divisor Catalog (16)

1 2 4 8 73 146 292 584 14,407 28,814 57,628 115,256 1,051,711 2,103,422 4,206,844 8,413,688

Collatz Trajectory (230 steps to reach 1)

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

8,413,688 4,206,844 2,103,422 1,051,711 3,155,134 1,577,567 4,732,702 2,366,351 7,099,054 3,549,527 10,648,582 5,324,291 15,972,874 7,986,437 23,959,312 11,979,656 5,989,828 2,994,914 1,497,457 4,492,372 2,246,186 1,123,093 3,369,280 1,684,640 842,320 421,160 210,580 105,290 52,645 157,936 78,968 39,484 19,742 9,871 29,614 14,807 44,422 22,211 66,634 33,317 99,952 49,976 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378

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