8,192,737

7 × 137 × 8543

Starting at 8,192,737, the Collatz iteration reaches 1 after 230 steps. The first transition is 24578212; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 137 × 8543

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,432,576

Proper Divisor Sum 1,239,839

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8192699 ← → #8192771

Radix Representation

Decimal	8192737
Binary	11111010000001011100001 (23 bits)
Octal	0o37201341
Hexadecimal	0x7D02E1

Divisor Catalog (8)

1 7 137 959 8,543 59,801 1,170,391 8,192,737

Collatz Trajectory (230 steps to reach 1)

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

8,192,737 24,578,212 12,289,106 6,144,553 18,433,660 9,216,830 4,608,415 13,825,246 6,912,623 20,737,870 10,368,935 31,106,806 15,553,403 46,660,210 23,330,105 69,990,316 34,995,158 17,497,579 52,492,738 26,246,369 78,739,108 39,369,554 19,684,777 59,054,332 29,527,166 14,763,583 44,290,750 22,145,375 66,436,126 33,218,063 99,654,190 49,827,095 149,481,286 74,740,643 224,221,930 112,110,965 336,332,896 168,166,448 84,083,224 42,041,612 21,020,806 10,510,403 31,531,210 15,765,605 47,296,816 23,648,408 11,824,204 5,912,102 2,956,051 8,868,154 4,434,077 13,302,232 6,651,116 3,325,558 1,662,779 4,988,338 2,494,169 7,482,508 3,741,254 1,870,627

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