7,644,335

5 × 59 × 25913

Starting at 7,644,335, the Collatz iteration reaches 1 after 204 steps. The first transition is 22933006; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 59 × 25913

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,329,040

Proper Divisor Sum 1,684,705

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7644317 ← → #7644347

Radix Representation

Decimal	7644335
Binary	11101001010010010101111 (23 bits)
Octal	0o35122257
Hexadecimal	0x74A4AF

Divisor Catalog (8)

1 5 59 295 25,913 129,565 1,528,867 7,644,335

Collatz Trajectory (204 steps to reach 1)

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

7,644,335 22,933,006 11,466,503 34,399,510 17,199,755 51,599,266 25,799,633 77,398,900 38,699,450 19,349,725 58,049,176 29,024,588 14,512,294 7,256,147 21,768,442 10,884,221 32,652,664 16,326,332 8,163,166 4,081,583 12,244,750 6,122,375 18,367,126 9,183,563 27,550,690 13,775,345 41,326,036 20,663,018 10,331,509 30,994,528 15,497,264 7,748,632 3,874,316 1,937,158 968,579 2,905,738 1,452,869 4,358,608 2,179,304 1,089,652 544,826 272,413 817,240 408,620 204,310 102,155 306,466 153,233 459,700 229,850 114,925 344,776 172,388 86,194 43,097 129,292 64,646 32,323 96,970 48,485

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