7,911,364

2² × 929 × 2129

Starting at 7,911,364, the Collatz iteration reaches 1 after 67 steps. The first transition is 3955682; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 929 × 2129

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,866,300

Proper Divisor Sum 5,954,936

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7911361 ← → #7911367

Radix Representation

Decimal	7911364
Binary	11110001011011111000100 (23 bits)
Octal	0o36133704
Hexadecimal	0x78B7C4

Divisor Catalog (12)

1 2 4 929 1,858 2,129 3,716 4,258 8,516 1,977,841 3,955,682 7,911,364

Collatz Trajectory (67 steps to reach 1)

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

7,911,364 3,955,682 1,977,841 5,933,524 2,966,762 1,483,381 4,450,144 2,225,072 1,112,536 556,268 278,134 139,067 417,202 208,601 625,804 312,902 156,451 469,354 234,677 704,032 352,016 176,008 88,004 44,002 22,001 66,004 33,002 16,501 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40

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