λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,482,710

3,482,710

2 × 5 × 7 × 11 × 4523
Abundant Even Composite

3,482,710 factors as 2 × 5 × 7 × 11 × 4523. Its 32 positive divisors give a proper-divisor sum of 4,334,762, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 4523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,817,472
Proper Divisor Sum 4,334,762
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3482707 ← → #3482723

Radix Representation

Decimal 3482710
Binary 1101010010010001010110 (22 bits)
Octal 0o15222126
Hexadecimal 0x352456

Divisor Catalog (32)

1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 4,523 9,046 22,615 31,661 45,230 49,753 63,322 99,506 158,305 248,765 316,610 348,271 497,530 696,542 1,741,355 3,482,710

Collatz Trajectory (190 steps to reach 1)

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

3,482,710 1,741,355 5,224,066 2,612,033 7,836,100 3,918,050 1,959,025 5,877,076 2,938,538 1,469,269 4,407,808 2,203,904 1,101,952 550,976 275,488 137,744 68,872 34,436 17,218 8,609 25,828 12,914 6,457 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,482,709 Browse Full Index Next Integer #3,482,711 →