8,504,984

2³ × 1063123

Starting at 8,504,984, the Collatz iteration reaches 1 after 274 steps. The first transition is 4252492; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1063123

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,946,860

Proper Divisor Sum 7,441,876

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8504983 ← → #8504987

Radix Representation

Decimal	8504984
Binary	100000011100011010011000 (24 bits)
Octal	0o40343230
Hexadecimal	0x81C698

Divisor Catalog (8)

1 2 4 8 1,063,123 2,126,246 4,252,492 8,504,984

Collatz Trajectory (274 steps to reach 1)

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

8,504,984 4,252,492 2,126,246 1,063,123 3,189,370 1,594,685 4,784,056 2,392,028 1,196,014 598,007 1,794,022 897,011 2,691,034 1,345,517 4,036,552 2,018,276 1,009,138 504,569 1,513,708 756,854 378,427 1,135,282 567,641 1,702,924 851,462 425,731 1,277,194 638,597 1,915,792 957,896 478,948 239,474 119,737 359,212 179,606 89,803 269,410 134,705 404,116 202,058 101,029 303,088 151,544 75,772 37,886 18,943 56,830 28,415 85,246 42,623 127,870 63,935 191,806 95,903 287,710 143,855 431,566 215,783 647,350 323,675

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