λ
Integer Codex

5,200,121

277 × 18773
Deficient Odd Composite

For 5,200,121, the 4 positive divisors have a total of 5,219,172. Removing 5,200,121 leaves 19,051, which gives the deficient classification.

Prime Factor Structure

Factorization String 277 × 18773
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,219,172
Proper Divisor Sum 19,051
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #5200103 ← → #5200123

Radix Representation

Decimal 5200121
Binary 10011110101100011111001 (23 bits)
Octal 0o23654371
Hexadecimal 0x4F58F9

Divisor Catalog (4)

1 277 18,773 5,200,121

Collatz Trajectory (219 steps to reach 1)

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

5,200,121 15,600,364 7,800,182 3,900,091 11,700,274 5,850,137 17,550,412 8,775,206 4,387,603 13,162,810 6,581,405 19,744,216 9,872,108 4,936,054 2,468,027 7,404,082 3,702,041 11,106,124 5,553,062 2,776,531 8,329,594 4,164,797 12,494,392 6,247,196 3,123,598 1,561,799 4,685,398 2,342,699 7,028,098 3,514,049 10,542,148 5,271,074 2,635,537 7,906,612 3,953,306 1,976,653 5,929,960 2,964,980 1,482,490 741,245 2,223,736 1,111,868 555,934 277,967 833,902 416,951 1,250,854 625,427 1,876,282 938,141 2,814,424 1,407,212 703,606 351,803 1,055,410 527,705 1,583,116 791,558 395,779 1,187,338

More profiles

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