λ
Harmonic Matrix

1,145,240

23 × 5 × 28631
Abundant Even Composite

1,145,240 has digital root 8. The neighboring primes are 1145227 and 1145269; its proper-divisor sum differs from the starting integer by 286,400.

Prime Factor Structure

Factorization String 2^3 × 5 × 28631
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,576,880
Proper Divisor Sum 1,431,640
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1145227 ← → #1145269

Radix Representation

Decimal 1145240
Binary 100010111100110011000 (21 bits)
Octal 0o4274630
Hexadecimal 0x117998

Divisor Catalog (16)

1 2 4 5 8 10 20 40 28,631 57,262 114,524 143,155 229,048 286,310 572,620 1,145,240

Collatz Trajectory (54 steps to reach 1)

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

1,145,240 572,620 286,310 143,155 429,466 214,733 644,200 322,100 161,050 80,525 241,576 120,788 60,394 30,197 90,592 45,296 22,648 11,324 5,662 2,831 8,494 4,247 12,742 6,371 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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