λ
Harmonic Matrix

9,470,634

2 × 3 × 1578439
Abundant Even Composite

9,470,634 has digital root 6. The neighboring primes are 9470633 and 9470647; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1578439
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 18,941,280
Proper Divisor Sum 9,470,646
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9470633 ← → #9470647

Radix Representation

Decimal 9470634
Binary 100100001000001010101010 (24 bits)
Octal 0o44101252
Hexadecimal 0x9082AA

Divisor Catalog (8)

1 2 3 6 1,578,439 3,156,878 4,735,317 9,470,634

Collatz Trajectory (194 steps to reach 1)

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

9,470,634 4,735,317 14,205,952 7,102,976 3,551,488 1,775,744 887,872 443,936 221,968 110,984 55,492 27,746 13,873 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024

More profiles

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