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Atlas › Integer Profiles › Node 7,312,466

7,312,466

2 × 72 × 29 × 31 × 83
Deficient Even Composite

7,312,466 factors as 2 × 7^2 × 29 × 31 × 83. Its 48 positive divisors give a proper-divisor sum of 6,476,974, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 29 × 31 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,789,440
Proper Divisor Sum 6,476,974
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7312453 ← → #7312469

Radix Representation

Decimal 7312466
Binary 11011111001010001010010 (23 bits)
Octal 0o33712122
Hexadecimal 0x6F9452

Divisor Catalog (48)

1 2 7 14 29 31 49 58 62 83 98 166 203 217 406 434 581 899 1,162 1,421 1,519 1,798 2,407 2,573 2,842 3,038 4,067 4,814 5,146 6,293 8,134 12,586 16,849 18,011 33,698 36,022 44,051 74,617 88,102 117,943 126,077 149,234 235,886 252,154 522,319 1,044,638 3,656,233 7,312,466

Collatz Trajectory (248 steps to reach 1)

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

7,312,466 3,656,233 10,968,700 5,484,350 2,742,175 8,226,526 4,113,263 12,339,790 6,169,895 18,509,686 9,254,843 27,764,530 13,882,265 41,646,796 20,823,398 10,411,699 31,235,098 15,617,549 46,852,648 23,426,324 11,713,162 5,856,581 17,569,744 8,784,872 4,392,436 2,196,218 1,098,109 3,294,328 1,647,164 823,582 411,791 1,235,374 617,687 1,853,062 926,531 2,779,594 1,389,797 4,169,392 2,084,696 1,042,348 521,174 260,587 781,762 390,881 1,172,644 586,322 293,161 879,484 439,742 219,871 659,614 329,807 989,422 494,711 1,484,134 742,067 2,226,202 1,113,101 3,339,304 1,669,652

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