7,495,641

3² × 389 × 2141

Starting at 7,495,641, the Collatz iteration reaches 1 after 67 steps. The first transition is 22486924; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 389 × 2141

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,859,940

Proper Divisor Sum 3,364,299

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7495639 ← → #7495679

Radix Representation

Decimal	7495641
Binary	11100100101111111011001 (23 bits)
Octal	0o34457731
Hexadecimal	0x725FD9

Divisor Catalog (12)

1 3 9 389 1,167 2,141 3,501 6,423 19,269 832,849 2,498,547 7,495,641

Collatz Trajectory (67 steps to reach 1)

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

7,495,641 22,486,924 11,243,462 5,621,731 16,865,194 8,432,597 25,297,792 12,648,896 6,324,448 3,162,224 1,581,112 790,556 395,278 197,639 592,918 296,459 889,378 444,689 1,334,068 667,034 333,517 1,000,552 500,276 250,138 125,069 375,208 187,604 93,802 46,901 140,704 70,352 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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