7,616,113

1229 × 6197

Starting at 7,616,113, the Collatz iteration reaches 1 after 173 steps. The first transition is 22848340; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1229 × 6197

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,623,540

Proper Divisor Sum 7,427

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7616069 ← → #7616123

Radix Representation

Decimal	7616113
Binary	11101000011011001110001 (23 bits)
Octal	0o35033161
Hexadecimal	0x743671

Divisor Catalog (4)

1 1,229 6,197 7,616,113

Collatz Trajectory (173 steps to reach 1)

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

7,616,113 22,848,340 11,424,170 5,712,085 17,136,256 8,568,128 4,284,064 2,142,032 1,071,016 535,508 267,754 133,877 401,632 200,816 100,408 50,204 25,102 12,551 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348

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