λ
Integer Codex

5,413,089

3 × 11 × 17 × 9649
Deficient Odd Composite

For 5,413,089, the 16 positive divisors have a total of 8,337,600. Removing 5,413,089 leaves 2,924,511, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 17 × 9649
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,337,600
Proper Divisor Sum 2,924,511
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5413033 ← → #5413091

Radix Representation

Decimal 5413089
Binary 10100101001100011100001 (23 bits)
Octal 0o24514341
Hexadecimal 0x5298E1

Divisor Catalog (16)

1 3 11 17 33 51 187 561 9,649 28,947 106,139 164,033 318,417 492,099 1,804,363 5,413,089

Collatz Trajectory (139 steps to reach 1)

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

5,413,089 16,239,268 8,119,634 4,059,817 12,179,452 6,089,726 3,044,863 9,134,590 4,567,295 13,701,886 6,850,943 20,552,830 10,276,415 30,829,246 15,414,623 46,243,870 23,121,935 69,365,806 34,682,903 104,048,710 52,024,355 156,073,066 78,036,533 234,109,600 117,054,800 58,527,400 29,263,700 14,631,850 7,315,925 21,947,776 10,973,888 5,486,944 2,743,472 1,371,736 685,868 342,934 171,467 514,402 257,201 771,604 385,802 192,901 578,704 289,352 144,676 72,338 36,169 108,508 54,254 27,127 81,382 40,691 122,074 61,037 183,112 91,556 45,778 22,889 68,668 34,334

More profiles

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