λ
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Atlas › Integer Profiles › Node 21,392,730

21,392,730

2 × 32 × 5 × 251 × 947
Abundant Even Composite

21,392,730 factors as 2 × 3^2 × 5 × 251 × 947. Its 48 positive divisors give a proper-divisor sum of 34,508,934, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 251 × 947
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 55,901,664
Proper Divisor Sum 34,508,934
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21392729 ← → #21392741

Radix Representation

Decimal 21392730
Binary 1010001100110110101011010 (25 bits)
Octal 0o121466532
Hexadecimal 0x1466D5A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 251 502 753 947 1,255 1,506 1,894 2,259 2,510 2,841 3,765 4,518 4,735 5,682 7,530 8,523 9,470 11,295 14,205 17,046 22,590 28,410 42,615 85,230 237,697 475,394 713,091 1,188,485 1,426,182 2,139,273 2,376,970 3,565,455 4,278,546 7,130,910 10,696,365 21,392,730

Collatz Trajectory (234 steps to reach 1)

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

21,392,730 10,696,365 32,089,096 16,044,548 8,022,274 4,011,137 12,033,412 6,016,706 3,008,353 9,025,060 4,512,530 2,256,265 6,768,796 3,384,398 1,692,199 5,076,598 2,538,299 7,614,898 3,807,449 11,422,348 5,711,174 2,855,587 8,566,762 4,283,381 12,850,144 6,425,072 3,212,536 1,606,268 803,134 401,567 1,204,702 602,351 1,807,054 903,527 2,710,582 1,355,291 4,065,874 2,032,937 6,098,812 3,049,406 1,524,703 4,574,110 2,287,055 6,861,166 3,430,583 10,291,750 5,145,875 15,437,626 7,718,813 23,156,440 11,578,220 5,789,110 2,894,555 8,683,666 4,341,833 13,025,500 6,512,750 3,256,375 9,769,126 4,884,563

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