λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,495,027

6,495,027

3 × 7 × 11 × 31 × 907
Deficient Odd Composite

6,495,027 factors as 3 × 7 × 11 × 31 × 907. Its 32 positive divisors give a proper-divisor sum of 4,662,477, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 31 × 907
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,157,504
Proper Divisor Sum 4,662,477
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6495011 ← → #6495031

Radix Representation

Decimal 6495027
Binary 11000110001101100110011 (23 bits)
Octal 0o30615463
Hexadecimal 0x631B33

Divisor Catalog (32)

1 3 7 11 21 31 33 77 93 217 231 341 651 907 1,023 2,387 2,721 6,349 7,161 9,977 19,047 28,117 29,931 69,839 84,351 196,819 209,517 309,287 590,457 927,861 2,165,009 6,495,027

Collatz Trajectory (178 steps to reach 1)

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

6,495,027 19,485,082 9,742,541 29,227,624 14,613,812 7,306,906 3,653,453 10,960,360 5,480,180 2,740,090 1,370,045 4,110,136 2,055,068 1,027,534 513,767 1,541,302 770,651 2,311,954 1,155,977 3,467,932 1,733,966 866,983 2,600,950 1,300,475 3,901,426 1,950,713 5,852,140 2,926,070 1,463,035 4,389,106 2,194,553 6,583,660 3,291,830 1,645,915 4,937,746 2,468,873 7,406,620 3,703,310 1,851,655 5,554,966 2,777,483 8,332,450 4,166,225 12,498,676 6,249,338 3,124,669 9,374,008 4,687,004 2,343,502 1,171,751 3,515,254 1,757,627 5,272,882 2,636,441 7,909,324 3,954,662 1,977,331 5,931,994 2,965,997 8,897,992

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,495,026 Browse Full Index Next Integer #6,495,028 →