8,467,004

2² × 7² × 13 × 3323

8,467,004 has the prime decomposition 2^2 × 7^2 × 13 × 3323. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 3323

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 18,567,864

Proper Divisor Sum 10,100,860

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8466979 ← → #8467007

Radix Representation

Decimal	8467004
Binary	100000010011001000111100 (24 bits)
Octal	0o40231074
Hexadecimal	0x81323C

Divisor Catalog (36)

1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1,274 2,548 3,323 6,646 13,292 23,261 43,199 46,522 86,398 93,044 162,827 172,796 302,393 325,654 604,786 651,308 1,209,572 2,116,751 4,233,502 8,467,004

Collatz Trajectory (155 steps to reach 1)

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

8,467,004 4,233,502 2,116,751 6,350,254 3,175,127 9,525,382 4,762,691 14,288,074 7,144,037 21,432,112 10,716,056 5,358,028 2,679,014 1,339,507 4,018,522 2,009,261 6,027,784 3,013,892 1,506,946 753,473 2,260,420 1,130,210 565,105 1,695,316 847,658 423,829 1,271,488 635,744 317,872 158,936 79,468 39,734 19,867 59,602 29,801 89,404 44,702 22,351 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710

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