λ
Harmonic Matrix

3,718,431

32 × 413159
Deficient Odd Composite

3,718,431 has digital root 9. The neighboring primes are 3718423 and 3718439; its proper-divisor sum differs from the starting integer by -2,065,782.

Prime Factor Structure

Factorization String 3^2 × 413159
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,371,080
Proper Divisor Sum 1,652,649
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3718423 ← → #3718439

Radix Representation

Decimal 3718431
Binary 1110001011110100011111 (22 bits)
Octal 0o16136437
Hexadecimal 0x38BD1F

Divisor Catalog (6)

1 3 9 413,159 1,239,477 3,718,431

Collatz Trajectory (172 steps to reach 1)

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

3,718,431 11,155,294 5,577,647 16,732,942 8,366,471 25,099,414 12,549,707 37,649,122 18,824,561 56,473,684 28,236,842 14,118,421 42,355,264 21,177,632 10,588,816 5,294,408 2,647,204 1,323,602 661,801 1,985,404 992,702 496,351 1,489,054 744,527 2,233,582 1,116,791 3,350,374 1,675,187 5,025,562 2,512,781 7,538,344 3,769,172 1,884,586 942,293 2,826,880 1,413,440 706,720 353,360 176,680 88,340 44,170 22,085 66,256 33,128 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656

More profiles

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