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Atlas › Integer Profiles › Node 21,396,518

21,396,518

2 × 11 × 13 × 79 × 947
Deficient Even Composite

21,396,518 factors as 2 × 11 × 13 × 79 × 947. Its 32 positive divisors give a proper-divisor sum of 16,826,842, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 79 × 947
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 38,223,360
Proper Divisor Sum 16,826,842
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #21396511 ← → #21396533

Radix Representation

Decimal 21396518
Binary 1010001100111110000100110 (25 bits)
Octal 0o121476046
Hexadecimal 0x1467C26

Divisor Catalog (32)

1 2 11 13 22 26 79 143 158 286 869 947 1,027 1,738 1,894 2,054 10,417 11,297 12,311 20,834 22,594 24,622 74,813 135,421 149,626 270,842 822,943 972,569 1,645,886 1,945,138 10,698,259 21,396,518

Collatz Trajectory (172 steps to reach 1)

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

21,396,518 10,698,259 32,094,778 16,047,389 48,142,168 24,071,084 12,035,542 6,017,771 18,053,314 9,026,657 27,079,972 13,539,986 6,769,993 20,309,980 10,154,990 5,077,495 15,232,486 7,616,243 22,848,730 11,424,365 34,273,096 17,136,548 8,568,274 4,284,137 12,852,412 6,426,206 3,213,103 9,639,310 4,819,655 14,458,966 7,229,483 21,688,450 10,844,225 32,532,676 16,266,338 8,133,169 24,399,508 12,199,754 6,099,877 18,299,632 9,149,816 4,574,908 2,287,454 1,143,727 3,431,182 1,715,591 5,146,774 2,573,387 7,720,162 3,860,081 11,580,244 5,790,122 2,895,061 8,685,184 4,342,592 2,171,296 1,085,648 542,824 271,412 135,706

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