2,706,431

7 × 13 × 29741

Starting at 2,706,431, the Collatz iteration reaches 1 after 293 steps. The first transition is 8119294; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 29741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,331,104

Proper Divisor Sum 624,673

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2706427 ← → #2706437

Radix Representation

Decimal	2706431
Binary	1010010100101111111111 (22 bits)
Octal	0o12245777
Hexadecimal	0x294BFF

Divisor Catalog (8)

1 7 13 91 29,741 208,187 386,633 2,706,431

Collatz Trajectory (293 steps to reach 1)

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

2,706,431 8,119,294 4,059,647 12,178,942 6,089,471 18,268,414 9,134,207 27,402,622 13,701,311 41,103,934 20,551,967 61,655,902 30,827,951 92,483,854 46,241,927 138,725,782 69,362,891 208,088,674 104,044,337 312,133,012 156,066,506 78,033,253 234,099,760 117,049,880 58,524,940 29,262,470 14,631,235 43,893,706 21,946,853 65,840,560 32,920,280 16,460,140 8,230,070 4,115,035 12,345,106 6,172,553 18,517,660 9,258,830 4,629,415 13,888,246 6,944,123 20,832,370 10,416,185 31,248,556 15,624,278 7,812,139 23,436,418 11,718,209 35,154,628 17,577,314 8,788,657 26,365,972 13,182,986 6,591,493 19,774,480 9,887,240 4,943,620 2,471,810 1,235,905 3,707,716

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