λ
Harmonic Matrix

1,476,594

2 × 32 × 7 × 11719
Abundant Even Composite

1,476,594 has digital root 9. The neighboring primes are 1476581 and 1476641; its proper-divisor sum differs from the starting integer by 703,452.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,656,640
Proper Divisor Sum 2,180,046
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1476581 ← → #1476641

Radix Representation

Decimal 1476594
Binary 101101000011111110010 (21 bits)
Octal 0o5503762
Hexadecimal 0x1687F2

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 11,719 23,438 35,157 70,314 82,033 105,471 164,066 210,942 246,099 492,198 738,297 1,476,594

Collatz Trajectory (119 steps to reach 1)

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

1,476,594 738,297 2,214,892 1,107,446 553,723 1,661,170 830,585 2,491,756 1,245,878 622,939 1,868,818 934,409 2,803,228 1,401,614 700,807 2,102,422 1,051,211 3,153,634 1,576,817 4,730,452 2,365,226 1,182,613 3,547,840 1,773,920 886,960 443,480 221,740 110,870 55,435 166,306 83,153 249,460 124,730 62,365 187,096 93,548 46,774 23,387 70,162 35,081 105,244 52,622 26,311 78,934 39,467 118,402 59,201 177,604 88,802 44,401 133,204 66,602 33,301 99,904 49,952 24,976 12,488 6,244 3,122 1,561

More profiles

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