7,733,816

2³ × 966727

Starting at 7,733,816, the Collatz iteration reaches 1 after 155 steps. The first transition is 3866908; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 966727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,500,920

Proper Divisor Sum 6,767,104

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7733809 ← → #7733837

Radix Representation

Decimal	7733816
Binary	11101100000001000111000 (23 bits)
Octal	0o35401070
Hexadecimal	0x760238

Divisor Catalog (8)

1 2 4 8 966,727 1,933,454 3,866,908 7,733,816

Collatz Trajectory (155 steps to reach 1)

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

7,733,816 3,866,908 1,933,454 966,727 2,900,182 1,450,091 4,350,274 2,175,137 6,525,412 3,262,706 1,631,353 4,894,060 2,447,030 1,223,515 3,670,546 1,835,273 5,505,820 2,752,910 1,376,455 4,129,366 2,064,683 6,194,050 3,097,025 9,291,076 4,645,538 2,322,769 6,968,308 3,484,154 1,742,077 5,226,232 2,613,116 1,306,558 653,279 1,959,838 979,919 2,939,758 1,469,879 4,409,638 2,204,819 6,614,458 3,307,229 9,921,688 4,960,844 2,480,422 1,240,211 3,720,634 1,860,317 5,580,952 2,790,476 1,395,238 697,619 2,092,858 1,046,429 3,139,288 1,569,644 784,822 392,411 1,177,234 588,617 1,765,852

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