8,492,113

7 × 43 × 89 × 317

Starting at 8,492,113, the Collatz iteration reaches 1 after 212 steps. The first transition is 25476340; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 43 × 89 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,074,240

Proper Divisor Sum 1,582,127

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8492111 ← → #8492119

Radix Representation

Decimal	8492113
Binary	100000011001010001010001 (24 bits)
Octal	0o40312121
Hexadecimal	0x819451

Divisor Catalog (16)

1 7 43 89 301 317 623 2,219 3,827 13,631 26,789 28,213 95,417 197,491 1,213,159 8,492,113

Collatz Trajectory (212 steps to reach 1)

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

8,492,113 25,476,340 12,738,170 6,369,085 19,107,256 9,553,628 4,776,814 2,388,407 7,165,222 3,582,611 10,747,834 5,373,917 16,121,752 8,060,876 4,030,438 2,015,219 6,045,658 3,022,829 9,068,488 4,534,244 2,267,122 1,133,561 3,400,684 1,700,342 850,171 2,550,514 1,275,257 3,825,772 1,912,886 956,443 2,869,330 1,434,665 4,303,996 2,151,998 1,075,999 3,227,998 1,613,999 4,841,998 2,420,999 7,262,998 3,631,499 10,894,498 5,447,249 16,341,748 8,170,874 4,085,437 12,256,312 6,128,156 3,064,078 1,532,039 4,596,118 2,298,059 6,894,178 3,447,089 10,341,268 5,170,634 2,585,317 7,755,952 3,877,976 1,938,988

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