2,578,107

3 × 7 × 293 × 419

Starting at 2,578,107, the Collatz iteration reaches 1 after 99 steps. The first transition is 7734322; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 293 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,951,360

Proper Divisor Sum 1,373,253

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2578099 ← → #2578109

Radix Representation

Decimal	2578107
Binary	1001110101011010111011 (22 bits)
Octal	0o11653273
Hexadecimal	0x2756BB

Divisor Catalog (16)

1 3 7 21 293 419 879 1,257 2,051 2,933 6,153 8,799 122,767 368,301 859,369 2,578,107

Collatz Trajectory (99 steps to reach 1)

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

2,578,107 7,734,322 3,867,161 11,601,484 5,800,742 2,900,371 8,701,114 4,350,557 13,051,672 6,525,836 3,262,918 1,631,459 4,894,378 2,447,189 7,341,568 3,670,784 1,835,392 917,696 458,848 229,424 114,712 57,356 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734

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