8,515,923

3 × 13 × 218357

Starting at 8,515,923, the Collatz iteration reaches 1 after 305 steps. The first transition is 25547770; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 218357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,228,048

Proper Divisor Sum 3,712,125

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8515909 ← → #8515931

Radix Representation

Decimal	8515923
Binary	100000011111000101010011 (24 bits)
Octal	0o40370523
Hexadecimal	0x81F153

Divisor Catalog (8)

1 3 13 39 218,357 655,071 2,838,641 8,515,923

Collatz Trajectory (305 steps to reach 1)

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

8,515,923 25,547,770 12,773,885 38,321,656 19,160,828 9,580,414 4,790,207 14,370,622 7,185,311 21,555,934 10,777,967 32,333,902 16,166,951 48,500,854 24,250,427 72,751,282 36,375,641 109,126,924 54,563,462 27,281,731 81,845,194 40,922,597 122,767,792 61,383,896 30,691,948 15,345,974 7,672,987 23,018,962 11,509,481 34,528,444 17,264,222 8,632,111 25,896,334 12,948,167 38,844,502 19,422,251 58,266,754 29,133,377 87,400,132 43,700,066 21,850,033 65,550,100 32,775,050 16,387,525 49,162,576 24,581,288 12,290,644 6,145,322 3,072,661 9,217,984 4,608,992 2,304,496 1,152,248 576,124 288,062 144,031 432,094 216,047 648,142 324,071

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