λ
Harmonic Matrix

4,318,418

2 × 13 × 37 × 672
Deficient Even Composite

4,318,418 has digital root 2. The neighboring primes are 4318409 and 4318429; its proper-divisor sum differs from the starting integer by -1,363,864.

Prime Factor Structure

Factorization String 2 × 13 × 37 × 67^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,272,972
Proper Divisor Sum 2,954,554
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4318409 ← → #4318429

Radix Representation

Decimal 4318418
Binary 10000011110010011010010 (23 bits)
Octal 0o20362322
Hexadecimal 0x41E4D2

Divisor Catalog (24)

1 2 13 26 37 67 74 134 481 871 962 1,742 2,479 4,489 4,958 8,978 32,227 58,357 64,454 116,714 166,093 332,186 2,159,209 4,318,418

Collatz Trajectory (273 steps to reach 1)

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

4,318,418 2,159,209 6,477,628 3,238,814 1,619,407 4,858,222 2,429,111 7,287,334 3,643,667 10,931,002 5,465,501 16,396,504 8,198,252 4,099,126 2,049,563 6,148,690 3,074,345 9,223,036 4,611,518 2,305,759 6,917,278 3,458,639 10,375,918 5,187,959 15,563,878 7,781,939 23,345,818 11,672,909 35,018,728 17,509,364 8,754,682 4,377,341 13,132,024 6,566,012 3,283,006 1,641,503 4,924,510 2,462,255 7,386,766 3,693,383 11,080,150 5,540,075 16,620,226 8,310,113 24,930,340 12,465,170 6,232,585 18,697,756 9,348,878 4,674,439 14,023,318 7,011,659 21,034,978 10,517,489 31,552,468 15,776,234 7,888,117 23,664,352 11,832,176 5,916,088

More profiles

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