8,178,544

2⁴ × 11 × 31 × 1499

Starting at 8,178,544, the Collatz iteration reaches 1 after 137 steps. The first transition is 4089272; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 31 × 1499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 17,856,000

Proper Divisor Sum 9,677,456

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8178529 ← → #8178559

Radix Representation

Decimal	8178544
Binary	11111001100101101110000 (23 bits)
Octal	0o37145560
Hexadecimal	0x7CCB70

Divisor Catalog (40)

1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1,364 1,499 2,728 2,998 5,456 5,996 11,992 16,489 23,984 32,978 46,469 65,956 92,938 131,912 185,876 263,824 371,752 511,159 743,504 1,022,318 2,044,636 4,089,272 8,178,544

Collatz Trajectory (137 steps to reach 1)

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

8,178,544 4,089,272 2,044,636 1,022,318 511,159 1,533,478 766,739 2,300,218 1,150,109 3,450,328 1,725,164 862,582 431,291 1,293,874 646,937 1,940,812 970,406 485,203 1,455,610 727,805 2,183,416 1,091,708 545,854 272,927 818,782 409,391 1,228,174 614,087 1,842,262 921,131 2,763,394 1,381,697 4,145,092 2,072,546 1,036,273 3,108,820 1,554,410 777,205 2,331,616 1,165,808 582,904 291,452 145,726 72,863 218,590 109,295 327,886 163,943 491,830 245,915 737,746 368,873 1,106,620 553,310 276,655 829,966 414,983 1,244,950 622,475 1,867,426

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