7,324,331

7 × 17 × 61 × 1009

7,324,331 factors as 7 × 17 × 61 × 1009. Its 16 positive divisors give a proper-divisor sum of 1,692,949, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 7 × 17 × 61 × 1009

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,017,280

Proper Divisor Sum 1,692,949

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7324313 ← → #7324337

Radix Representation

Decimal	7324331
Binary	11011111100001010101011 (23 bits)
Octal	0o33741253
Hexadecimal	0x6FC2AB

Divisor Catalog (16)

1 7 17 61 119 427 1,009 1,037 7,063 7,259 17,153 61,549 120,071 430,843 1,046,333 7,324,331

Collatz Trajectory (160 steps to reach 1)

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

7,324,331 21,972,994 10,986,497 32,959,492 16,479,746 8,239,873 24,719,620 12,359,810 6,179,905 18,539,716 9,269,858 4,634,929 13,904,788 6,952,394 3,476,197 10,428,592 5,214,296 2,607,148 1,303,574 651,787 1,955,362 977,681 2,933,044 1,466,522 733,261 2,199,784 1,099,892 549,946 274,973 824,920 412,460 206,230 103,115 309,346 154,673 464,020 232,010 116,005 348,016 174,008 87,004 43,502 21,751 65,254 32,627 97,882 48,941 146,824 73,412 36,706 18,353 55,060 27,530 13,765 41,296 20,648 10,324 5,162 2,581 7,744

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