λ
Harmonic Matrix

1,367,020

22 × 5 × 68351
Abundant Even Composite

1,367,020 has digital root 1. The neighboring primes are 1367017 and 1367027; its proper-divisor sum differs from the starting integer by 136,744.

Prime Factor Structure

Factorization String 2^2 × 5 × 68351
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,870,784
Proper Divisor Sum 1,503,764
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1367017 ← → #1367027

Radix Representation

Decimal 1367020
Binary 101001101101111101100 (21 bits)
Octal 0o5155754
Hexadecimal 0x14DBEC

Divisor Catalog (12)

1 2 4 5 10 20 68,351 136,702 273,404 341,755 683,510 1,367,020

Collatz Trajectory (80 steps to reach 1)

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

1,367,020 683,510 341,755 1,025,266 512,633 1,537,900 768,950 384,475 1,153,426 576,713 1,730,140 865,070 432,535 1,297,606 648,803 1,946,410 973,205 2,919,616 1,459,808 729,904 364,952 182,476 91,238 45,619 136,858 68,429 205,288 102,644 51,322 25,661 76,984 38,492 19,246 9,623 28,870 14,435 43,306 21,653 64,960 32,480 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448

More profiles

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