λ
Prime Ledger

7,997,317

127 × 62971
Deficient Odd Composite

7,997,317 has the prime decomposition 127 × 62971. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 127 × 62971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,060,416
Proper Divisor Sum 63,099
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7997303 ← → #7997323

Radix Representation

Decimal 7997317
Binary 11110100000011110000101 (23 bits)
Octal 0o36403605
Hexadecimal 0x7A0785

Divisor Catalog (4)

1 127 62,971 7,997,317

Collatz Trajectory (168 steps to reach 1)

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

7,997,317 23,991,952 11,995,976 5,997,988 2,998,994 1,499,497 4,498,492 2,249,246 1,124,623 3,373,870 1,686,935 5,060,806 2,530,403 7,591,210 3,795,605 11,386,816 5,693,408 2,846,704 1,423,352 711,676 355,838 177,919 533,758 266,879 800,638 400,319 1,200,958 600,479 1,801,438 900,719 2,702,158 1,351,079 4,053,238 2,026,619 6,079,858 3,039,929 9,119,788 4,559,894 2,279,947 6,839,842 3,419,921 10,259,764 5,129,882 2,564,941 7,694,824 3,847,412 1,923,706 961,853 2,885,560 1,442,780 721,390 360,695 1,082,086 541,043 1,623,130 811,565 2,434,696 1,217,348 608,674 304,337

More profiles

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