λ
Sigma Notebook

7,737,605

5 × 1547521
Deficient Odd Composite

7,737,605 is odd and not a perfect square. Its factorization is 5 × 1547521 and its 4 divisors sum to 9,285,132.

Prime Factor Structure

Factorization String 5 × 1547521
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,285,132
Proper Divisor Sum 1,547,527
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7737557 ← → #7737607

Radix Representation

Decimal 7737605
Binary 11101100001000100000101 (23 bits)
Octal 0o35410405
Hexadecimal 0x761105

Divisor Catalog (4)

1 5 1,547,521 7,737,605

Collatz Trajectory (217 steps to reach 1)

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

7,737,605 23,212,816 11,606,408 5,803,204 2,901,602 1,450,801 4,352,404 2,176,202 1,088,101 3,264,304 1,632,152 816,076 408,038 204,019 612,058 306,029 918,088 459,044 229,522 114,761 344,284 172,142 86,071 258,214 129,107 387,322 193,661 580,984 290,492 145,246 72,623 217,870 108,935 326,806 163,403 490,210 245,105 735,316 367,658 183,829 551,488 275,744 137,872 68,936 34,468 17,234 8,617 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085

More profiles

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