2,651,047

7³ × 59 × 131

Starting at 2,651,047, the Collatz iteration reaches 1 after 169 steps. The first transition is 7953142; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7^3 × 59 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,168,000

Proper Divisor Sum 516,953

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2651041 ← → #2651053

Radix Representation

Decimal	2651047
Binary	1010000111001110100111 (22 bits)
Octal	0o12071647
Hexadecimal	0x2873A7

Divisor Catalog (16)

1 7 49 59 131 343 413 917 2,891 6,419 7,729 20,237 44,933 54,103 378,721 2,651,047

Collatz Trajectory (169 steps to reach 1)

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

2,651,047 7,953,142 3,976,571 11,929,714 5,964,857 17,894,572 8,947,286 4,473,643 13,420,930 6,710,465 20,131,396 10,065,698 5,032,849 15,098,548 7,549,274 3,774,637 11,323,912 5,661,956 2,830,978 1,415,489 4,246,468 2,123,234 1,061,617 3,184,852 1,592,426 796,213 2,388,640 1,194,320 597,160 298,580 149,290 74,645 223,936 111,968 55,984 27,992 13,996 6,998 3,499 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828

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