λ
Integer Codex

5,580,123

3 × 1231 × 1511
Deficient Odd Composite

For 5,580,123, the 8 positive divisors have a total of 7,451,136. Removing 5,580,123 leaves 1,871,013, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 1231 × 1511
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,451,136
Proper Divisor Sum 1,871,013
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5580121 ← → #5580137

Radix Representation

Decimal 5580123
Binary 10101010010010101011011 (23 bits)
Octal 0o25222533
Hexadecimal 0x55255B

Divisor Catalog (8)

1 3 1,231 1,511 3,693 4,533 1,860,041 5,580,123

Collatz Trajectory (108 steps to reach 1)

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

5,580,123 16,740,370 8,370,185 25,110,556 12,555,278 6,277,639 18,832,918 9,416,459 28,249,378 14,124,689 42,374,068 21,187,034 10,593,517 31,780,552 15,890,276 7,945,138 3,972,569 11,917,708 5,958,854 2,979,427 8,938,282 4,469,141 13,407,424 6,703,712 3,351,856 1,675,928 837,964 418,982 209,491 628,474 314,237 942,712 471,356 235,678 117,839 353,518 176,759 530,278 265,139 795,418 397,709 1,193,128 596,564 298,282 149,141 447,424 223,712 111,856 55,928 27,964 13,982 6,991 20,974 10,487 31,462 15,731 47,194 23,597 70,792 35,396

More profiles

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