λ
Sigma Notebook

7,605,575

52 × 304223
Deficient Odd Composite

7,605,575 is odd and not a perfect square. Its factorization is 5^2 × 304223 and its 6 divisors sum to 9,430,944.

Prime Factor Structure

Factorization String 5^2 × 304223
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,430,944
Proper Divisor Sum 1,825,369
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7605557 ← → #7605593

Radix Representation

Decimal 7605575
Binary 11101000000110101000111 (23 bits)
Octal 0o35006507
Hexadecimal 0x740D47

Divisor Catalog (6)

1 5 25 304,223 1,521,115 7,605,575

Collatz Trajectory (155 steps to reach 1)

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

7,605,575 22,816,726 11,408,363 34,225,090 17,112,545 51,337,636 25,668,818 12,834,409 38,503,228 19,251,614 9,625,807 28,877,422 14,438,711 43,316,134 21,658,067 64,974,202 32,487,101 97,461,304 48,730,652 24,365,326 12,182,663 36,547,990 18,273,995 54,821,986 27,410,993 82,232,980 41,116,490 20,558,245 61,674,736 30,837,368 15,418,684 7,709,342 3,854,671 11,564,014 5,782,007 17,346,022 8,673,011 26,019,034 13,009,517 39,028,552 19,514,276 9,757,138 4,878,569 14,635,708 7,317,854 3,658,927 10,976,782 5,488,391 16,465,174 8,232,587 24,697,762 12,348,881 37,046,644 18,523,322 9,261,661 27,784,984 13,892,492 6,946,246 3,473,123 10,419,370

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