7,670,464

2⁶ × 119851

Starting at 7,670,464, the Collatz iteration reaches 1 after 142 steps. The first transition is 3835232; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 119851

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 15,221,204

Proper Divisor Sum 7,550,740

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7670461 ← → #7670473

Radix Representation

Decimal	7670464
Binary	11101010000101011000000 (23 bits)
Octal	0o35205300
Hexadecimal	0x750AC0

Divisor Catalog (14)

1 2 4 8 16 32 64 119,851 239,702 479,404 958,808 1,917,616 3,835,232 7,670,464

Collatz Trajectory (142 steps to reach 1)

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

7,670,464 3,835,232 1,917,616 958,808 479,404 239,702 119,851 359,554 179,777 539,332 269,666 134,833 404,500 202,250 101,125 303,376 151,688 75,844 37,922 18,961 56,884 28,442 14,221 42,664 21,332 10,666 5,333 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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