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Atlas › Integer Profiles › Node 1,092,998

1,092,998

2 × 172 × 31 × 61
Deficient Even Composite

1,092,998 factors as 2 × 17^2 × 31 × 61. Its 24 positive divisors give a proper-divisor sum of 734,266, so this integer is deficient. The Collatz stopping time is 271 steps.

Prime Factor Structure

Factorization String 2 × 17^2 × 31 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,827,264
Proper Divisor Sum 734,266
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1092997 ← → #1093007

Radix Representation

Decimal 1092998
Binary 100001010110110000110 (21 bits)
Octal 0o4126606
Hexadecimal 0x10AD86

Divisor Catalog (24)

1 2 17 31 34 61 62 122 289 527 578 1,037 1,054 1,891 2,074 3,782 8,959 17,629 17,918 32,147 35,258 64,294 546,499 1,092,998

Collatz Trajectory (271 steps to reach 1)

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

1,092,998 546,499 1,639,498 819,749 2,459,248 1,229,624 614,812 307,406 153,703 461,110 230,555 691,666 345,833 1,037,500 518,750 259,375 778,126 389,063 1,167,190 583,595 1,750,786 875,393 2,626,180 1,313,090 656,545 1,969,636 984,818 492,409 1,477,228 738,614 369,307 1,107,922 553,961 1,661,884 830,942 415,471 1,246,414 623,207 1,869,622 934,811 2,804,434 1,402,217 4,206,652 2,103,326 1,051,663 3,154,990 1,577,495 4,732,486 2,366,243 7,098,730 3,549,365 10,648,096 5,324,048 2,662,024 1,331,012 665,506 332,753 998,260 499,130 249,565

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