7,913,286

2 × 3² × 61 × 7207

Starting at 7,913,286, the Collatz iteration reaches 1 after 67 steps. The first transition is 3956643; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 61 × 7207

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,428,944

Proper Divisor Sum 9,515,658

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7913261 ← → #7913327

Radix Representation

Decimal	7913286
Binary	11110001011111101000110 (23 bits)
Octal	0o36137506
Hexadecimal	0x78BF46

Divisor Catalog (24)

1 2 3 6 9 18 61 122 183 366 549 1,098 7,207 14,414 21,621 43,242 64,863 129,726 439,627 879,254 1,318,881 2,637,762 3,956,643 7,913,286

Collatz Trajectory (67 steps to reach 1)

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

7,913,286 3,956,643 11,869,930 5,934,965 17,804,896 8,902,448 4,451,224 2,225,612 1,112,806 556,403 1,669,210 834,605 2,503,816 1,251,908 625,954 312,977 938,932 469,466 234,733 704,200 352,100 176,050 88,025 264,076 132,038 66,019 198,058 99,029 297,088 148,544 74,272 37,136 18,568 9,284 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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