λ
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Atlas › Integer Profiles › Node 6,013,752

6,013,752

23 × 3 × 31 × 59 × 137
Abundant Even Composite

6,013,752 factors as 2^3 × 3 × 31 × 59 × 137. Its 64 positive divisors give a proper-divisor sum of 9,883,848, so this integer is abundant. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 59 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,897,600
Proper Divisor Sum 9,883,848
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6013739 ← → #6013753

Radix Representation

Decimal 6013752
Binary 10110111100001100111000 (23 bits)
Octal 0o26741470
Hexadecimal 0x5BC338

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 31 59 62 93 118 124 137 177 186 236 248 274 354 372 411 472 548 708 744 822 1,096 1,416 1,644 1,829 3,288 3,658 4,247 5,487 7,316 8,083 8,494 10,974 12,741 14,632 16,166 16,988 21,948 24,249 25,482 32,332 33,976 43,896 48,498 50,964 64,664 96,996 101,928 193,992 250,573 501,146 751,719 1,002,292

Collatz Trajectory (258 steps to reach 1)

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

6,013,752 3,006,876 1,503,438 751,719 2,255,158 1,127,579 3,382,738 1,691,369 5,074,108 2,537,054 1,268,527 3,805,582 1,902,791 5,708,374 2,854,187 8,562,562 4,281,281 12,843,844 6,421,922 3,210,961 9,632,884 4,816,442 2,408,221 7,224,664 3,612,332 1,806,166 903,083 2,709,250 1,354,625 4,063,876 2,031,938 1,015,969 3,047,908 1,523,954 761,977 2,285,932 1,142,966 571,483 1,714,450 857,225 2,571,676 1,285,838 642,919 1,928,758 964,379 2,893,138 1,446,569 4,339,708 2,169,854 1,084,927 3,254,782 1,627,391 4,882,174 2,441,087 7,323,262 3,661,631 10,984,894 5,492,447 16,477,342 8,238,671

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