7,616,132

2² × 797 × 2389

Starting at 7,616,132, the Collatz iteration reaches 1 after 129 steps. The first transition is 3808066; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 797 × 2389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,350,540

Proper Divisor Sum 5,734,408

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7616123 ← → #7616137

Radix Representation

Decimal	7616132
Binary	11101000011011010000100 (23 bits)
Octal	0o35033204
Hexadecimal	0x743684

Divisor Catalog (12)

1 2 4 797 1,594 2,389 3,188 4,778 9,556 1,904,033 3,808,066 7,616,132

Collatz Trajectory (129 steps to reach 1)

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

7,616,132 3,808,066 1,904,033 5,712,100 2,856,050 1,428,025 4,284,076 2,142,038 1,071,019 3,213,058 1,606,529 4,819,588 2,409,794 1,204,897 3,614,692 1,807,346 903,673 2,711,020 1,355,510 677,755 2,033,266 1,016,633 3,049,900 1,524,950 762,475 2,287,426 1,143,713 3,431,140 1,715,570 857,785 2,573,356 1,286,678 643,339 1,930,018 965,009 2,895,028 1,447,514 723,757 2,171,272 1,085,636 542,818 271,409 814,228 407,114 203,557 610,672 305,336 152,668 76,334 38,167 114,502 57,251 171,754 85,877 257,632 128,816 64,408 32,204 16,102 8,051

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