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Atlas › Integer Profiles › Node 5,835,700

5,835,700

22 × 52 × 13 × 672
Abundant Even Composite

5,835,700 factors as 2^2 × 5^2 × 13 × 67^2. Its 54 positive divisors give a proper-divisor sum of 8,008,466, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 67^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 13,844,166
Proper Divisor Sum 8,008,466
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5835691 ← → #5835701

Radix Representation

Decimal 5835700
Binary 10110010000101110110100 (23 bits)
Octal 0o26205664
Hexadecimal 0x590BB4

Divisor Catalog (54)

1 2 4 5 10 13 20 25 26 50 52 65 67 100 130 134 260 268 325 335 650 670 871 1,300 1,340 1,675 1,742 3,350 3,484 4,355 4,489 6,700 8,710 8,978 17,420 17,956 21,775 22,445 43,550 44,890 58,357 87,100 89,780 112,225 116,714 224,450 233,428 291,785 448,900 583,570 1,167,140 1,458,925 2,917,850 5,835,700

Collatz Trajectory (183 steps to reach 1)

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

5,835,700 2,917,850 1,458,925 4,376,776 2,188,388 1,094,194 547,097 1,641,292 820,646 410,323 1,230,970 615,485 1,846,456 923,228 461,614 230,807 692,422 346,211 1,038,634 519,317 1,557,952 778,976 389,488 194,744 97,372 48,686 24,343 73,030 36,515 109,546 54,773 164,320 82,160 41,080 20,540 10,270 5,135 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030

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