λ
Integer Codex

5,378,087

112 × 132 × 263
Deficient Odd Composite

For 5,378,087, the 18 positive divisors have a total of 6,425,496. Removing 5,378,087 leaves 1,047,409, which gives the deficient classification.

Prime Factor Structure

Factorization String 11^2 × 13^2 × 263
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,425,496
Proper Divisor Sum 1,047,409
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5378077 ← → #5378089

Radix Representation

Decimal 5378087
Binary 10100100001000000100111 (23 bits)
Octal 0o24410047
Hexadecimal 0x521027

Divisor Catalog (18)

1 11 13 121 143 169 263 1,573 1,859 2,893 3,419 20,449 31,823 37,609 44,447 413,699 488,917 5,378,087

Collatz Trajectory (232 steps to reach 1)

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

5,378,087 16,134,262 8,067,131 24,201,394 12,100,697 36,302,092 18,151,046 9,075,523 27,226,570 13,613,285 40,839,856 20,419,928 10,209,964 5,104,982 2,552,491 7,657,474 3,828,737 11,486,212 5,743,106 2,871,553 8,614,660 4,307,330 2,153,665 6,460,996 3,230,498 1,615,249 4,845,748 2,422,874 1,211,437 3,634,312 1,817,156 908,578 454,289 1,362,868 681,434 340,717 1,022,152 511,076 255,538 127,769 383,308 191,654 95,827 287,482 143,741 431,224 215,612 107,806 53,903 161,710 80,855 242,566 121,283 363,850 181,925 545,776 272,888 136,444 68,222 34,111

More profiles

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