7,673,152

2⁶ × 113 × 1061

Starting at 7,673,152, the Collatz iteration reaches 1 after 98 steps. The first transition is 3836576; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 113 × 1061

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 15,375,636

Proper Divisor Sum 7,702,484

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7673143 ← → #7673167

Radix Representation

Decimal	7673152
Binary	11101010001010101000000 (23 bits)
Octal	0o35212500
Hexadecimal	0x751540

Divisor Catalog (28)

1 2 4 8 16 32 64 113 226 452 904 1,061 1,808 2,122 3,616 4,244 7,232 8,488 16,976 33,952 67,904 119,893 239,786 479,572 959,144 1,918,288 3,836,576 7,673,152

Collatz Trajectory (98 steps to reach 1)

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

7,673,152 3,836,576 1,918,288 959,144 479,572 239,786 119,893 359,680 179,840 89,920 44,960 22,480 11,240 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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