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Atlas › Integer Profiles › Node 13,615,533

13,615,533

36 × 19 × 983
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 19 × 983
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 21,510,240
Proper Divisor Sum 7,894,707
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #13615531 ← → #13615549

Radix Representation

Decimal 13615533
Binary 110011111100000110101101 (24 bits)
Octal 0o63740655
Hexadecimal 0xCFC1AD

Divisor Catalog (28)

1 3 9 19 27 57 81 171 243 513 729 983 1,539 2,949 4,617 8,847 13,851 18,677 26,541 56,031 79,623 168,093 238,869 504,279 716,607 1,512,837 4,538,511 13,615,533

Collatz Trajectory (179 steps to reach 1)

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

13,615,533 40,846,600 20,423,300 10,211,650 5,105,825 15,317,476 7,658,738 3,829,369 11,488,108 5,744,054 2,872,027 8,616,082 4,308,041 12,924,124 6,462,062 3,231,031 9,693,094 4,846,547 14,539,642 7,269,821 21,809,464 10,904,732 5,452,366 2,726,183 8,178,550 4,089,275 12,267,826 6,133,913 18,401,740 9,200,870 4,600,435 13,801,306 6,900,653 20,701,960 10,350,980 5,175,490 2,587,745 7,763,236 3,881,618 1,940,809 5,822,428 2,911,214 1,455,607 4,366,822 2,183,411 6,550,234 3,275,117 9,825,352 4,912,676 2,456,338 1,228,169 3,684,508 1,842,254 921,127 2,763,382 1,381,691 4,145,074 2,072,537 6,217,612 3,108,806

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