λ
Integer Codex

7,488,013

13 × 576001
Deficient Odd Composite

For 7,488,013, the 4 positive divisors have a total of 8,064,028. Removing 7,488,013 leaves 576,015, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 576001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,064,028
Proper Divisor Sum 576,015
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7487989 ← → #7488017

Radix Representation

Decimal 7488013
Binary 11100100100001000001101 (23 bits)
Octal 0o34441015
Hexadecimal 0x72420D

Divisor Catalog (4)

1 13 576,001 7,488,013

Collatz Trajectory (204 steps to reach 1)

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

7,488,013 22,464,040 11,232,020 5,616,010 2,808,005 8,424,016 4,212,008 2,106,004 1,053,002 526,501 1,579,504 789,752 394,876 197,438 98,719 296,158 148,079 444,238 222,119 666,358 333,179 999,538 499,769 1,499,308 749,654 374,827 1,124,482 562,241 1,686,724 843,362 421,681 1,265,044 632,522 316,261 948,784 474,392 237,196 118,598 59,299 177,898 88,949 266,848 133,424 66,712 33,356 16,678 8,339 25,018 12,509 37,528 18,764 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918

More profiles

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