7,255,396

2² × 17 × 23 × 4639

Starting at 7,255,396, the Collatz iteration reaches 1 after 191 steps. The first transition is 3627698; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 23 × 4639

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,031,360

Proper Divisor Sum 6,775,964

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7255357 ← → #7255403

Radix Representation

Decimal	7255396
Binary	11011101011010101100100 (23 bits)
Octal	0o33532544
Hexadecimal	0x6EB564

Divisor Catalog (24)

1 2 4 17 23 34 46 68 92 391 782 1,564 4,639 9,278 18,556 78,863 106,697 157,726 213,394 315,452 426,788 1,813,849 3,627,698 7,255,396

Collatz Trajectory (191 steps to reach 1)

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

7,255,396 3,627,698 1,813,849 5,441,548 2,720,774 1,360,387 4,081,162 2,040,581 6,121,744 3,060,872 1,530,436 765,218 382,609 1,147,828 573,914 286,957 860,872 430,436 215,218 107,609 322,828 161,414 80,707 242,122 121,061 363,184 181,592 90,796 45,398 22,699 68,098 34,049 102,148 51,074 25,537 76,612 38,306 19,153 57,460 28,730 14,365 43,096 21,548 10,774 5,387 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279

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