1,006,992

2⁴ × 3⁵ × 7 × 37

1,006,992 has digital root 9. The neighboring primes are 1006991 and 1007021; its proper-divisor sum differs from the starting integer by 1,416,352.

Prime Factor Structure

Factorization String 2^4 × 3^5 × 7 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 3,430,336

Proper Divisor Sum 2,423,344

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1006991 ← → #1007021

Radix Representation

Decimal	1006992
Binary	11110101110110010000 (20 bits)
Octal	0o3656620
Hexadecimal	0xF5D90

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 54 56 63 72 74 81 84 108 111 112 126 144 148 162 168 189 216 222 243 252 259 296 324 333 336 378 432 444 486 504 518 567 592 648 666 756 777 888 972 999

Collatz Trajectory (59 steps to reach 1)

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

1,006,992 503,496 251,748 125,874 62,937 188,812 94,406 47,203 141,610 70,805 212,416 106,208 53,104 26,552 13,276 6,638 3,319 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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