8,258,719

7 × 17 × 69401

Starting at 8,258,719, the Collatz iteration reaches 1 after 137 steps. The first transition is 24776158; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 69401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,993,888

Proper Divisor Sum 1,735,169

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8258717 ← → #8258737

Radix Representation

Decimal	8258719
Binary	11111100000010010011111 (23 bits)
Octal	0o37402237
Hexadecimal	0x7E049F

Divisor Catalog (8)

1 7 17 119 69,401 485,807 1,179,817 8,258,719

Collatz Trajectory (137 steps to reach 1)

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

8,258,719 24,776,158 12,388,079 37,164,238 18,582,119 55,746,358 27,873,179 83,619,538 41,809,769 125,429,308 62,714,654 31,357,327 94,071,982 47,035,991 141,107,974 70,553,987 211,661,962 105,830,981 317,492,944 158,746,472 79,373,236 39,686,618 19,843,309 59,529,928 29,764,964 14,882,482 7,441,241 22,323,724 11,161,862 5,580,931 16,742,794 8,371,397 25,114,192 12,557,096 6,278,548 3,139,274 1,569,637 4,708,912 2,354,456 1,177,228 588,614 294,307 882,922 441,461 1,324,384 662,192 331,096 165,548 82,774 41,387 124,162 62,081 186,244 93,122 46,561 139,684 69,842 34,921 104,764 52,382

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