λ
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Atlas › Integer Profiles › Node 6,130,030

6,130,030

2 × 5 × 17 × 107 × 337
Deficient Even Composite

6,130,030 factors as 2 × 5 × 17 × 107 × 337. Its 32 positive divisors give a proper-divisor sum of 5,697,266, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 107 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,827,296
Proper Divisor Sum 5,697,266
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #6130021 ← → #6130043

Radix Representation

Decimal 6130030
Binary 10111011000100101101110 (23 bits)
Octal 0o27304556
Hexadecimal 0x5D896E

Divisor Catalog (32)

1 2 5 10 17 34 85 107 170 214 337 535 674 1,070 1,685 1,819 3,370 3,638 5,729 9,095 11,458 18,190 28,645 36,059 57,290 72,118 180,295 360,590 613,003 1,226,006 3,065,015 6,130,030

Collatz Trajectory (165 steps to reach 1)

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

6,130,030 3,065,015 9,195,046 4,597,523 13,792,570 6,896,285 20,688,856 10,344,428 5,172,214 2,586,107 7,758,322 3,879,161 11,637,484 5,818,742 2,909,371 8,728,114 4,364,057 13,092,172 6,546,086 3,273,043 9,819,130 4,909,565 14,728,696 7,364,348 3,682,174 1,841,087 5,523,262 2,761,631 8,284,894 4,142,447 12,427,342 6,213,671 18,641,014 9,320,507 27,961,522 13,980,761 41,942,284 20,971,142 10,485,571 31,456,714 15,728,357 47,185,072 23,592,536 11,796,268 5,898,134 2,949,067 8,847,202 4,423,601 13,270,804 6,635,402 3,317,701 9,953,104 4,976,552 2,488,276 1,244,138 622,069 1,866,208 933,104 466,552 233,276

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