8,409,504

2⁵ × 3 × 251 × 349

8,409,504 is even and not a perfect square. Its factorization is 2^5 × 3 × 251 × 349 and its 48 divisors sum to 22,226,400.

Prime Factor Structure

Factorization String 2^5 × 3 × 251 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,226,400

Proper Divisor Sum 13,816,896

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8409497 ← → #8409523

Radix Representation

Decimal	8409504
Binary	100000000101000110100000 (24 bits)
Octal	0o40050640
Hexadecimal	0x8051A0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 251 349 502 698 753 1,004 1,047 1,396 1,506 2,008 2,094 2,792 3,012 4,016 4,188 5,584 6,024 8,032 8,376 11,168 12,048 16,752 24,096 33,504 87,599 175,198 262,797 350,396 525,594 700,792 1,051,188 1,401,584 2,102,376 2,803,168 4,204,752 8,409,504

Collatz Trajectory (168 steps to reach 1)

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

8,409,504 4,204,752 2,102,376 1,051,188 525,594 262,797 788,392 394,196 197,098 98,549 295,648 147,824 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

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