λ
Harmonic Matrix

1,611,946

2 × 7 × 97 × 1187
Deficient Even Composite

1,611,946 has digital root 1. The neighboring primes are 1611917 and 1611947; its proper-divisor sum differs from the starting integer by -429,716.

Prime Factor Structure

Factorization String 2 × 7 × 97 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,794,176
Proper Divisor Sum 1,182,230
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1611917 ← → #1611947

Radix Representation

Decimal 1611946
Binary 110001001100010101010 (21 bits)
Octal 0o6114252
Hexadecimal 0x1898AA

Divisor Catalog (16)

1 2 7 14 97 194 679 1,187 1,358 2,374 8,309 16,618 115,139 230,278 805,973 1,611,946

Collatz Trajectory (70 steps to reach 1)

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

1,611,946 805,973 2,417,920 1,208,960 604,480 302,240 151,120 75,560 37,780 18,890 9,445 28,336 14,168 7,084 3,542 1,771 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52

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