λ
Harmonic Matrix

9,389,004

22 × 3 × 409 × 1913
Abundant Even Composite

9,389,004 has digital root 6. The neighboring primes are 9388999 and 9389047; its proper-divisor sum differs from the starting integer by 3,194,712.

Prime Factor Structure

Factorization String 2^2 × 3 × 409 × 1913
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,972,720
Proper Divisor Sum 12,583,716
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9388999 ← → #9389047

Radix Representation

Decimal 9389004
Binary 100011110100001111001100 (24 bits)
Octal 0o43641714
Hexadecimal 0x8F43CC

Divisor Catalog (24)

1 2 3 4 6 12 409 818 1,227 1,636 1,913 2,454 3,826 4,908 5,739 7,652 11,478 22,956 782,417 1,564,834 2,347,251 3,129,668 4,694,502 9,389,004

Collatz Trajectory (225 steps to reach 1)

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

9,389,004 4,694,502 2,347,251 7,041,754 3,520,877 10,562,632 5,281,316 2,640,658 1,320,329 3,960,988 1,980,494 990,247 2,970,742 1,485,371 4,456,114 2,228,057 6,684,172 3,342,086 1,671,043 5,013,130 2,506,565 7,519,696 3,759,848 1,879,924 939,962 469,981 1,409,944 704,972 352,486 176,243 528,730 264,365 793,096 396,548 198,274 99,137 297,412 148,706 74,353 223,060 111,530 55,765 167,296 83,648 41,824 20,912 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934

More profiles

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