λ
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6,148,120

23 × 5 × 11 × 89 × 157
Abundant Even Composite

6,148,120 factors as 2^3 × 5 × 11 × 89 × 157. Its 64 positive divisors give a proper-divisor sum of 9,209,480, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 89 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,357,600
Proper Divisor Sum 9,209,480
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6148091 ← → #6148123

Radix Representation

Decimal 6148120
Binary 10111011101000000011000 (23 bits)
Octal 0o27350030
Hexadecimal 0x5DD018

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 157 178 220 314 356 440 445 628 712 785 890 979 1,256 1,570 1,727 1,780 1,958 3,140 3,454 3,560 3,916 4,895 6,280 6,908 7,832 8,635 9,790 13,816 13,973 17,270 19,580 27,946 34,540 39,160 55,892 69,080 69,865 111,784 139,730 153,703 279,460 307,406 558,920 614,812 768,515

Collatz Trajectory (77 steps to reach 1)

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

6,148,120 3,074,060 1,537,030 768,515 2,305,546 1,152,773 3,458,320 1,729,160 864,580 432,290 216,145 648,436 324,218 162,109 486,328 243,164 121,582 60,791 182,374 91,187 273,562 136,781 410,344 205,172 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410 2,705 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181

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