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Atlas › Integer Profiles › Node 9,822,012

9,822,012

22 × 3 × 19 × 23 × 1873
Abundant Even Composite

9,822,012 factors as 2^2 × 3 × 19 × 23 × 1873. Its 48 positive divisors give a proper-divisor sum of 15,364,548, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 23 × 1873
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,186,560
Proper Divisor Sum 15,364,548
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9821957 ← → #9822019

Radix Representation

Decimal 9822012
Binary 100101011101111100111100 (24 bits)
Octal 0o45357474
Hexadecimal 0x95DF3C

Divisor Catalog (48)

1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1,311 1,748 1,873 2,622 3,746 5,244 5,619 7,492 11,238 22,476 35,587 43,079 71,174 86,158 106,761 129,237 142,348 172,316 213,522 258,474 427,044 516,948 818,501 1,637,002 2,455,503 3,274,004 4,911,006 9,822,012

Collatz Trajectory (207 steps to reach 1)

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

9,822,012 4,911,006 2,455,503 7,366,510 3,683,255 11,049,766 5,524,883 16,574,650 8,287,325 24,861,976 12,430,988 6,215,494 3,107,747 9,323,242 4,661,621 13,984,864 6,992,432 3,496,216 1,748,108 874,054 437,027 1,311,082 655,541 1,966,624 983,312 491,656 245,828 122,914 61,457 184,372 92,186 46,093 138,280 69,140 34,570 17,285 51,856 25,928 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388

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