7,637,109

3 × 2545703

Starting at 7,637,109, the Collatz iteration reaches 1 after 54 steps. The first transition is 22911328; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2545703

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,182,816

Proper Divisor Sum 2,545,707

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7637093 ← → #7637117

Radix Representation

Decimal	7637109
Binary	11101001000100001110101 (23 bits)
Octal	0o35104165
Hexadecimal	0x748875

Divisor Catalog (4)

1 3 2,545,703 7,637,109

Collatz Trajectory (54 steps to reach 1)

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

7,637,109 22,911,328 11,455,664 5,727,832 2,863,916 1,431,958 715,979 2,147,938 1,073,969 3,221,908 1,610,954 805,477 2,416,432 1,208,216 604,108 302,054 151,027 453,082 226,541 679,624 339,812 169,906 84,953 254,860 127,430 63,715 191,146 95,573 286,720 143,360 71,680 35,840 17,920 8,960 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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