1,038,096

2⁴ × 3⁶ × 89

1,038,096 has digital root 9. The neighboring primes are 1038077 and 1038119; its proper-divisor sum differs from the starting integer by 973,278.

Prime Factor Structure

Factorization String 2^4 × 3^6 × 89

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 70

Divisor Sum (σ) 3,049,470

Proper Divisor Sum 2,011,374

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1038077 ← → #1038119

Radix Representation

Decimal	1038096
Binary	11111101011100010000 (20 bits)
Octal	0o3753420
Hexadecimal	0xFD710

Divisor Catalog (60 of 70)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 243 267 324 356 432 486 534 648 712 729 801 972 1,068 1,296 1,424 1,458 1,602 1,944 2,136 2,403 2,916 3,204 3,888 4,272 4,806 5,832 6,408 7,209 9,612 11,664 12,816 14,418 19,224 21,627 28,836 38,448 43,254

Collatz Trajectory (165 steps to reach 1)

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

1,038,096 519,048 259,524 129,762 64,881 194,644 97,322 48,661 145,984 72,992 36,496 18,248 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31

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