λ
Integer Codex

6,013,998

2 × 32 × 229 × 1459
Abundant Even Composite

For 6,013,998, the 24 positive divisors have a total of 13,096,200. Removing 6,013,998 leaves 7,082,202, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 229 × 1459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,096,200
Proper Divisor Sum 7,082,202
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6013993 ← → #6014009

Radix Representation

Decimal 6013998
Binary 10110111100010000101110 (23 bits)
Octal 0o26742056
Hexadecimal 0x5BC42E

Divisor Catalog (24)

1 2 3 6 9 18 229 458 687 1,374 1,459 2,061 2,918 4,122 4,377 8,754 13,131 26,262 334,111 668,222 1,002,333 2,004,666 3,006,999 6,013,998

Collatz Trajectory (113 steps to reach 1)

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

6,013,998 3,006,999 9,020,998 4,510,499 13,531,498 6,765,749 20,297,248 10,148,624 5,074,312 2,537,156 1,268,578 634,289 1,902,868 951,434 475,717 1,427,152 713,576 356,788 178,394 89,197 267,592 133,796 66,898 33,449 100,348 50,174 25,087 75,262 37,631 112,894 56,447 169,342 84,671 254,014 127,007 381,022 190,511 571,534 285,767 857,302 428,651 1,285,954 642,977 1,928,932 964,466 482,233 1,446,700 723,350 361,675 1,085,026 542,513 1,627,540 813,770 406,885 1,220,656 610,328 305,164 152,582 76,291 228,874

More profiles

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