λ
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Atlas › Integer Profiles › Node 7,429,665

7,429,665

3 × 5 × 19 × 131 × 199
Deficient Odd Composite

7,429,665 factors as 3 × 5 × 19 × 131 × 199. Its 32 positive divisors give a proper-divisor sum of 5,242,335, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 131 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,672,000
Proper Divisor Sum 5,242,335
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7429649 ← → #7429673

Radix Representation

Decimal 7429665
Binary 11100010101111000100001 (23 bits)
Octal 0o34257041
Hexadecimal 0x715E21

Divisor Catalog (32)

1 3 5 15 19 57 95 131 199 285 393 597 655 995 1,965 2,489 2,985 3,781 7,467 11,343 12,445 18,905 26,069 37,335 56,715 78,207 130,345 391,035 495,311 1,485,933 2,476,555 7,429,665

Collatz Trajectory (142 steps to reach 1)

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

7,429,665 22,288,996 11,144,498 5,572,249 16,716,748 8,358,374 4,179,187 12,537,562 6,268,781 18,806,344 9,403,172 4,701,586 2,350,793 7,052,380 3,526,190 1,763,095 5,289,286 2,644,643 7,933,930 3,966,965 11,900,896 5,950,448 2,975,224 1,487,612 743,806 371,903 1,115,710 557,855 1,673,566 836,783 2,510,350 1,255,175 3,765,526 1,882,763 5,648,290 2,824,145 8,472,436 4,236,218 2,118,109 6,354,328 3,177,164 1,588,582 794,291 2,382,874 1,191,437 3,574,312 1,787,156 893,578 446,789 1,340,368 670,184 335,092 167,546 83,773 251,320 125,660 62,830 31,415 94,246 47,123

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