8,590,505

5 × 7 × 11 × 53 × 421

Starting at 8,590,505, the Collatz iteration reaches 1 after 155 steps. The first transition is 25771516; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 53 × 421

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,125,888

Proper Divisor Sum 4,535,383

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8590501 ← → #8590507

Radix Representation

Decimal	8590505
Binary	100000110001010010101001 (24 bits)
Octal	0o40612251
Hexadecimal	0x8314A9

Divisor Catalog (32)

1 5 7 11 35 53 55 77 265 371 385 421 583 1,855 2,105 2,915 2,947 4,081 4,631 14,735 20,405 22,313 23,155 32,417 111,565 156,191 162,085 245,443 780,955 1,227,215 1,718,101 8,590,505

Collatz Trajectory (155 steps to reach 1)

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

8,590,505 25,771,516 12,885,758 6,442,879 19,328,638 9,664,319 28,992,958 14,496,479 43,489,438 21,744,719 65,234,158 32,617,079 97,851,238 48,925,619 146,776,858 73,388,429 220,165,288 110,082,644 55,041,322 27,520,661 82,561,984 41,280,992 20,640,496 10,320,248 5,160,124 2,580,062 1,290,031 3,870,094 1,935,047 5,805,142 2,902,571 8,707,714 4,353,857 13,061,572 6,530,786 3,265,393 9,796,180 4,898,090 2,449,045 7,347,136 3,673,568 1,836,784 918,392 459,196 229,598 114,799 344,398 172,199 516,598 258,299 774,898 387,449 1,162,348 581,174 290,587 871,762 435,881 1,307,644 653,822 326,911

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