7,644,316

2² × 1911079

Starting at 7,644,316, the Collatz iteration reaches 1 after 173 steps. The first transition is 3822158; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1911079

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,377,560

Proper Divisor Sum 5,733,244

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7644293 ← → #7644317

Radix Representation

Decimal	7644316
Binary	11101001010010010011100 (23 bits)
Octal	0o35122234
Hexadecimal	0x74A49C

Divisor Catalog (6)

1 2 4 1,911,079 3,822,158 7,644,316

Collatz Trajectory (173 steps to reach 1)

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

7,644,316 3,822,158 1,911,079 5,733,238 2,866,619 8,599,858 4,299,929 12,899,788 6,449,894 3,224,947 9,674,842 4,837,421 14,512,264 7,256,132 3,628,066 1,814,033 5,442,100 2,721,050 1,360,525 4,081,576 2,040,788 1,020,394 510,197 1,530,592 765,296 382,648 191,324 95,662 47,831 143,494 71,747 215,242 107,621 322,864 161,432 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348

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