7,590,621

3 × 23² × 4783

Starting at 7,590,621, the Collatz iteration reaches 1 after 129 steps. The first transition is 22771864; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 23^2 × 4783

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,582,208

Proper Divisor Sum 2,991,587

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7590593 ← → #7590623

Radix Representation

Decimal	7590621
Binary	11100111101001011011101 (23 bits)
Octal	0o34751335
Hexadecimal	0x73D2DD

Divisor Catalog (12)

1 3 23 69 529 1,587 4,783 14,349 110,009 330,027 2,530,207 7,590,621

Collatz Trajectory (129 steps to reach 1)

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

7,590,621 22,771,864 11,385,932 5,692,966 2,846,483 8,539,450 4,269,725 12,809,176 6,404,588 3,202,294 1,601,147 4,803,442 2,401,721 7,205,164 3,602,582 1,801,291 5,403,874 2,701,937 8,105,812 4,052,906 2,026,453 6,079,360 3,039,680 1,519,840 759,920 379,960 189,980 94,990 47,495 142,486 71,243 213,730 106,865 320,596 160,298 80,149 240,448 120,224 60,112 30,056 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340

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