λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,684,510

7,684,510

2 × 5 × 172 × 2659
Deficient Even Composite

7,684,510 factors as 2 × 5 × 17^2 × 2659. Its 24 positive divisors give a proper-divisor sum of 7,014,650, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17^2 × 2659
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,699,160
Proper Divisor Sum 7,014,650
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7684489 ← → #7684519

Radix Representation

Decimal 7684510
Binary 11101010100000110011110 (23 bits)
Octal 0o35240636
Hexadecimal 0x75419E

Divisor Catalog (24)

1 2 5 10 17 34 85 170 289 578 1,445 2,659 2,890 5,318 13,295 26,590 45,203 90,406 226,015 452,030 768,451 1,536,902 3,842,255 7,684,510

Collatz Trajectory (98 steps to reach 1)

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

7,684,510 3,842,255 11,526,766 5,763,383 17,290,150 8,645,075 25,935,226 12,967,613 38,902,840 19,451,420 9,725,710 4,862,855 14,588,566 7,294,283 21,882,850 10,941,425 32,824,276 16,412,138 8,206,069 24,618,208 12,309,104 6,154,552 3,077,276 1,538,638 769,319 2,307,958 1,153,979 3,461,938 1,730,969 5,192,908 2,596,454 1,298,227 3,894,682 1,947,341 5,842,024 2,921,012 1,460,506 730,253 2,190,760 1,095,380 547,690 273,845 821,536 410,768 205,384 102,692 51,346 25,673 77,020 38,510 19,255 57,766 28,883 86,650 43,325 129,976 64,988 32,494 16,247 48,742

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,684,509 Browse Full Index Next Integer #7,684,511 →