8,212,353

3 × 337 × 8123

Starting at 8,212,353, the Collatz iteration reaches 1 after 80 steps. The first transition is 24637060; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 337 × 8123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,983,648

Proper Divisor Sum 2,771,295

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8212333 ← → #8212363

Radix Representation

Decimal	8212353
Binary	11111010100111110000001 (23 bits)
Octal	0o37247601
Hexadecimal	0x7D4F81

Divisor Catalog (8)

1 3 337 1,011 8,123 24,369 2,737,451 8,212,353

Collatz Trajectory (80 steps to reach 1)

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

8,212,353 24,637,060 12,318,530 6,159,265 18,477,796 9,238,898 4,619,449 13,858,348 6,929,174 3,464,587 10,393,762 5,196,881 15,590,644 7,795,322 3,897,661 11,692,984 5,846,492 2,923,246 1,461,623 4,384,870 2,192,435 6,577,306 3,288,653 9,865,960 4,932,980 2,466,490 1,233,245 3,699,736 1,849,868 924,934 462,467 1,387,402 693,701 2,081,104 1,040,552 520,276 260,138 130,069 390,208 195,104 97,552 48,776 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448

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