λ
Integer Codex

5,789,561

53 × 313 × 349
Deficient Odd Composite

For 5,789,561, the 8 positive divisors have a total of 5,934,600. Removing 5,789,561 leaves 145,039, which gives the deficient classification.

Prime Factor Structure

Factorization String 53 × 313 × 349
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,934,600
Proper Divisor Sum 145,039
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5789551 ← → #5789573

Radix Representation

Decimal 5789561
Binary 10110000101011101111001 (23 bits)
Octal 0o26053571
Hexadecimal 0x585779

Divisor Catalog (8)

1 53 313 349 16,589 18,497 109,237 5,789,561

Collatz Trajectory (157 steps to reach 1)

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

5,789,561 17,368,684 8,684,342 4,342,171 13,026,514 6,513,257 19,539,772 9,769,886 4,884,943 14,654,830 7,327,415 21,982,246 10,991,123 32,973,370 16,486,685 49,460,056 24,730,028 12,365,014 6,182,507 18,547,522 9,273,761 27,821,284 13,910,642 6,955,321 20,865,964 10,432,982 5,216,491 15,649,474 7,824,737 23,474,212 11,737,106 5,868,553 17,605,660 8,802,830 4,401,415 13,204,246 6,602,123 19,806,370 9,903,185 29,709,556 14,854,778 7,427,389 22,282,168 11,141,084 5,570,542 2,785,271 8,355,814 4,177,907 12,533,722 6,266,861 18,800,584 9,400,292 4,700,146 2,350,073 7,050,220 3,525,110 1,762,555 5,287,666 2,643,833 7,931,500

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