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Atlas › Integer Profiles › Node 2,299,792

2,299,792

24 × 11 × 73 × 179
Abundant Even Composite

2,299,792 factors as 2^4 × 11 × 73 × 179. Its 40 positive divisors give a proper-divisor sum of 2,655,248, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 73 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,955,040
Proper Divisor Sum 2,655,248
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2299789 ← → #2299823

Radix Representation

Decimal 2299792
Binary 1000110001011110010000 (22 bits)
Octal 0o10613620
Hexadecimal 0x231790

Divisor Catalog (40)

1 2 4 8 11 16 22 44 73 88 146 176 179 292 358 584 716 803 1,168 1,432 1,606 1,969 2,864 3,212 3,938 6,424 7,876 12,848 13,067 15,752 26,134 31,504 52,268 104,536 143,737 209,072 287,474 574,948 1,149,896 2,299,792

Collatz Trajectory (148 steps to reach 1)

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

2,299,792 1,149,896 574,948 287,474 143,737 431,212 215,606 107,803 323,410 161,705 485,116 242,558 121,279 363,838 181,919 545,758 272,879 818,638 409,319 1,227,958 613,979 1,841,938 920,969 2,762,908 1,381,454 690,727 2,072,182 1,036,091 3,108,274 1,554,137 4,662,412 2,331,206 1,165,603 3,496,810 1,748,405 5,245,216 2,622,608 1,311,304 655,652 327,826 163,913 491,740 245,870 122,935 368,806 184,403 553,210 276,605 829,816 414,908 207,454 103,727 311,182 155,591 466,774 233,387 700,162 350,081 1,050,244 525,122

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