7,631,262

2 × 3² × 23 × 18433

Starting at 7,631,262, the Collatz iteration reaches 1 after 160 steps. The first transition is 3815631; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 18433

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,254,224

Proper Divisor Sum 9,622,962

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7631251 ← → #7631279

Radix Representation

Decimal	7631262
Binary	11101000111000110011110 (23 bits)
Octal	0o35070636
Hexadecimal	0x74719E

Divisor Catalog (24)

1 2 3 6 9 18 23 46 69 138 207 414 18,433 36,866 55,299 110,598 165,897 331,794 423,959 847,918 1,271,877 2,543,754 3,815,631 7,631,262

Collatz Trajectory (160 steps to reach 1)

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

7,631,262 3,815,631 11,446,894 5,723,447 17,170,342 8,585,171 25,755,514 12,877,757 38,633,272 19,316,636 9,658,318 4,829,159 14,487,478 7,243,739 21,731,218 10,865,609 32,596,828 16,298,414 8,149,207 24,447,622 12,223,811 36,671,434 18,335,717 55,007,152 27,503,576 13,751,788 6,875,894 3,437,947 10,313,842 5,156,921 15,470,764 7,735,382 3,867,691 11,603,074 5,801,537 17,404,612 8,702,306 4,351,153 13,053,460 6,526,730 3,263,365 9,790,096 4,895,048 2,447,524 1,223,762 611,881 1,835,644 917,822 458,911 1,376,734 688,367 2,065,102 1,032,551 3,097,654 1,548,827 4,646,482 2,323,241 6,969,724 3,484,862 1,742,431

← Previous Integer #7,631,261 Browse Full Index Next Integer #7,631,263 →