λ
Harmonic Matrix

1,427,986

2 × 7 × 101999
Deficient Even Composite

1,427,986 has digital root 1. The neighboring primes are 1427969 and 1427999; its proper-divisor sum differs from the starting integer by -407,972.

Prime Factor Structure

Factorization String 2 × 7 × 101999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,448,000
Proper Divisor Sum 1,020,014
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1427969 ← → #1427999

Radix Representation

Decimal 1427986
Binary 101011100101000010010 (21 bits)
Octal 0o5345022
Hexadecimal 0x15CA12

Divisor Catalog (8)

1 2 7 14 101,999 203,998 713,993 1,427,986

Collatz Trajectory (137 steps to reach 1)

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

1,427,986 713,993 2,141,980 1,070,990 535,495 1,606,486 803,243 2,409,730 1,204,865 3,614,596 1,807,298 903,649 2,710,948 1,355,474 677,737 2,033,212 1,016,606 508,303 1,524,910 762,455 2,287,366 1,143,683 3,431,050 1,715,525 5,146,576 2,573,288 1,286,644 643,322 321,661 964,984 482,492 241,246 120,623 361,870 180,935 542,806 271,403 814,210 407,105 1,221,316 610,658 305,329 915,988 457,994 228,997 686,992 343,496 171,748 85,874 42,937 128,812 64,406 32,203 96,610 48,305 144,916 72,458 36,229 108,688 54,344

More profiles

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