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Atlas › Integer Profiles › Node 21,047,890

21,047,890

2 × 5 × 53 × 151 × 263
Deficient Even Composite

21,047,890 factors as 2 × 5 × 53 × 151 × 263. Its 32 positive divisors give a proper-divisor sum of 17,956,526, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 5 × 53 × 151 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,004,416
Proper Divisor Sum 17,956,526
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #21047861 ← → #21047893

Radix Representation

Decimal 21047890
Binary 1010000010010101001010010 (25 bits)
Octal 0o120225122
Hexadecimal 0x1412A52

Divisor Catalog (32)

1 2 5 10 53 106 151 263 265 302 526 530 755 1,315 1,510 2,630 8,003 13,939 16,006 27,878 39,713 40,015 69,695 79,426 80,030 139,390 198,565 397,130 2,104,789 4,209,578 10,523,945 21,047,890

Collatz Trajectory (177 steps to reach 1)

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

21,047,890 10,523,945 31,571,836 15,785,918 7,892,959 23,678,878 11,839,439 35,518,318 17,759,159 53,277,478 26,638,739 79,916,218 39,958,109 119,874,328 59,937,164 29,968,582 14,984,291 44,952,874 22,476,437 67,429,312 33,714,656 16,857,328 8,428,664 4,214,332 2,107,166 1,053,583 3,160,750 1,580,375 4,741,126 2,370,563 7,111,690 3,555,845 10,667,536 5,333,768 2,666,884 1,333,442 666,721 2,000,164 1,000,082 500,041 1,500,124 750,062 375,031 1,125,094 562,547 1,687,642 843,821 2,531,464 1,265,732 632,866 316,433 949,300 474,650 237,325 711,976 355,988 177,994 88,997 266,992 133,496

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