8,710,457

7 × 283 × 4397

Starting at 8,710,457, the Collatz iteration reaches 1 after 119 steps. The first transition is 26131372; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 283 × 4397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,992,256

Proper Divisor Sum 1,281,799

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8710441 ← → #8710459

Radix Representation

Decimal	8710457
Binary	100001001110100100111001 (24 bits)
Octal	0o41164471
Hexadecimal	0x84E939

Divisor Catalog (8)

1 7 283 1,981 4,397 30,779 1,244,351 8,710,457

Collatz Trajectory (119 steps to reach 1)

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

8,710,457 26,131,372 13,065,686 6,532,843 19,598,530 9,799,265 29,397,796 14,698,898 7,349,449 22,048,348 11,024,174 5,512,087 16,536,262 8,268,131 24,804,394 12,402,197 37,206,592 18,603,296 9,301,648 4,650,824 2,325,412 1,162,706 581,353 1,744,060 872,030 436,015 1,308,046 654,023 1,962,070 981,035 2,943,106 1,471,553 4,414,660 2,207,330 1,103,665 3,310,996 1,655,498 827,749 2,483,248 1,241,624 620,812 310,406 155,203 465,610 232,805 698,416 349,208 174,604 87,302 43,651 130,954 65,477 196,432 98,216 49,108 24,554 12,277 36,832 18,416 9,208

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