λ
Integer Codex

5,723,837

72 × 199 × 587
Deficient Odd Composite

For 5,723,837, the 12 positive divisors have a total of 6,703,200. Removing 5,723,837 leaves 979,363, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 199 × 587
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,703,200
Proper Divisor Sum 979,363
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5723833 ← → #5723843

Radix Representation

Decimal 5723837
Binary 10101110101011010111101 (23 bits)
Octal 0o25653275
Hexadecimal 0x5756BD

Divisor Catalog (12)

1 7 49 199 587 1,393 4,109 9,751 28,763 116,813 817,691 5,723,837

Collatz Trajectory (232 steps to reach 1)

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

5,723,837 17,171,512 8,585,756 4,292,878 2,146,439 6,439,318 3,219,659 9,658,978 4,829,489 14,488,468 7,244,234 3,622,117 10,866,352 5,433,176 2,716,588 1,358,294 679,147 2,037,442 1,018,721 3,056,164 1,528,082 764,041 2,292,124 1,146,062 573,031 1,719,094 859,547 2,578,642 1,289,321 3,867,964 1,933,982 966,991 2,900,974 1,450,487 4,351,462 2,175,731 6,527,194 3,263,597 9,790,792 4,895,396 2,447,698 1,223,849 3,671,548 1,835,774 917,887 2,753,662 1,376,831 4,130,494 2,065,247 6,195,742 3,097,871 9,293,614 4,646,807 13,940,422 6,970,211 20,910,634 10,455,317 31,365,952 15,682,976 7,841,488

More profiles

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