8,358,005

5 × 19 × 97 × 907

Starting at 8,358,005, the Collatz iteration reaches 1 after 137 steps. The first transition is 25074016; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 19 × 97 × 907

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,678,080

Proper Divisor Sum 2,320,075

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8357983 ← → #8358019

Radix Representation

Decimal	8358005
Binary	11111111000100001110101 (23 bits)
Octal	0o37704165
Hexadecimal	0x7F8875

Divisor Catalog (16)

1 5 19 95 97 485 907 1,843 4,535 9,215 17,233 86,165 87,979 439,895 1,671,601 8,358,005

Collatz Trajectory (137 steps to reach 1)

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

8,358,005 25,074,016 12,537,008 6,268,504 3,134,252 1,567,126 783,563 2,350,690 1,175,345 3,526,036 1,763,018 881,509 2,644,528 1,322,264 661,132 330,566 165,283 495,850 247,925 743,776 371,888 185,944 92,972 46,486 23,243 69,730 34,865 104,596 52,298 26,149 78,448 39,224 19,612 9,806 4,903 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839

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