λ
Harmonic Matrix

1,069,024

25 × 11 × 3037
Abundant Even Composite

1,069,024 has digital root 4. The neighboring primes are 1069007 and 1069031; its proper-divisor sum differs from the starting integer by 158,680.

Prime Factor Structure

Factorization String 2^5 × 11 × 3037
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,296,728
Proper Divisor Sum 1,227,704
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1069007 ← → #1069031

Radix Representation

Decimal 1069024
Binary 100000100111111100000 (21 bits)
Octal 0o4047740
Hexadecimal 0x104FE0

Divisor Catalog (24)

1 2 4 8 11 16 22 32 44 88 176 352 3,037 6,074 12,148 24,296 33,407 48,592 66,814 97,184 133,628 267,256 534,512 1,069,024

Collatz Trajectory (147 steps to reach 1)

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

1,069,024 534,512 267,256 133,628 66,814 33,407 100,222 50,111 150,334 75,167 225,502 112,751 338,254 169,127 507,382 253,691 761,074 380,537 1,141,612 570,806 285,403 856,210 428,105 1,284,316 642,158 321,079 963,238 481,619 1,444,858 722,429 2,167,288 1,083,644 541,822 270,911 812,734 406,367 1,219,102 609,551 1,828,654 914,327 2,742,982 1,371,491 4,114,474 2,057,237 6,171,712 3,085,856 1,542,928 771,464 385,732 192,866 96,433 289,300 144,650 72,325 216,976 108,488 54,244 27,122 13,561 40,684

More profiles

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