λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,209,710

6,209,710

2 × 5 × 13 × 37 × 1291
Deficient Even Composite

6,209,710 factors as 2 × 5 × 13 × 37 × 1291. Its 32 positive divisors give a proper-divisor sum of 6,162,482, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 37 × 1291
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,372,192
Proper Divisor Sum 6,162,482
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6209681 ← → #6209717

Radix Representation

Decimal 6209710
Binary 10111101100000010101110 (23 bits)
Octal 0o27540256
Hexadecimal 0x5EC0AE

Divisor Catalog (32)

1 2 5 10 13 26 37 65 74 130 185 370 481 962 1,291 2,405 2,582 4,810 6,455 12,910 16,783 33,566 47,767 83,915 95,534 167,830 238,835 477,670 620,971 1,241,942 3,104,855 6,209,710

Collatz Trajectory (77 steps to reach 1)

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

6,209,710 3,104,855 9,314,566 4,657,283 13,971,850 6,985,925 20,957,776 10,478,888 5,239,444 2,619,722 1,309,861 3,929,584 1,964,792 982,396 491,198 245,599 736,798 368,399 1,105,198 552,599 1,657,798 828,899 2,486,698 1,243,349 3,730,048 1,865,024 932,512 466,256 233,128 116,564 58,282 29,141 87,424 43,712 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,209,709 Browse Full Index Next Integer #6,209,711 →