1,117,007

223 × 5009

1,117,007 has digital root 8. The neighboring primes are 1116989 and 1117009; its proper-divisor sum differs from the starting integer by -1,111,774.

Prime Factor Structure

Factorization String 223 × 5009

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,122,240

Proper Divisor Sum 5,233

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1116989 ← → #1117009

Radix Representation

Decimal	1117007
Binary	100010000101101001111 (21 bits)
Octal	0o4205517
Hexadecimal	0x110B4F

Divisor Catalog (4)

1 223 5,009 1,117,007

Collatz Trajectory (116 steps to reach 1)

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

1,117,007 3,351,022 1,675,511 5,026,534 2,513,267 7,539,802 3,769,901 11,309,704 5,654,852 2,827,426 1,413,713 4,241,140 2,120,570 1,060,285 3,180,856 1,590,428 795,214 397,607 1,192,822 596,411 1,789,234 894,617 2,683,852 1,341,926 670,963 2,012,890 1,006,445 3,019,336 1,509,668 754,834 377,417 1,132,252 566,126 283,063 849,190 424,595 1,273,786 636,893 1,910,680 955,340 477,670 238,835 716,506 358,253 1,074,760 537,380 268,690 134,345 403,036 201,518 100,759 302,278 151,139 453,418 226,709 680,128 340,064 170,032 85,016 42,508

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