7,589,796

2² × 3 × 632483

Starting at 7,589,796, the Collatz iteration reaches 1 after 103 steps. The first transition is 3794898; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 632483

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,709,552

Proper Divisor Sum 10,119,756

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #7589783 ← → #7589809

Radix Representation

Decimal	7589796
Binary	11100111100111110100100 (23 bits)
Octal	0o34747644
Hexadecimal	0x73CFA4

Divisor Catalog (12)

1 2 3 4 6 12 632,483 1,264,966 1,897,449 2,529,932 3,794,898 7,589,796

Collatz Trajectory (103 steps to reach 1)

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

7,589,796 3,794,898 1,897,449 5,692,348 2,846,174 1,423,087 4,269,262 2,134,631 6,403,894 3,201,947 9,605,842 4,802,921 14,408,764 7,204,382 3,602,191 10,806,574 5,403,287 16,209,862 8,104,931 24,314,794 12,157,397 36,472,192 18,236,096 9,118,048 4,559,024 2,279,512 1,139,756 569,878 284,939 854,818 427,409 1,282,228 641,114 320,557 961,672 480,836 240,418 120,209 360,628 180,314 90,157 270,472 135,236 67,618 33,809 101,428 50,714 25,357 76,072 38,036 19,018 9,509 28,528 14,264 7,132 3,566 1,783 5,350 2,675 8,026

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