λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,076,404

8,076,404

22 × 7 × 23 × 12541
Abundant Even Composite

8,076,404 factors as 2^2 × 7 × 23 × 12541. Its 24 positive divisors give a proper-divisor sum of 8,780,044, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 12541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,856,448
Proper Divisor Sum 8,780,044
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8076403 ← → #8076437

Radix Representation

Decimal 8076404
Binary 11110110011110001110100 (23 bits)
Octal 0o36636164
Hexadecimal 0x7B3C74

Divisor Catalog (24)

1 2 4 7 14 23 28 46 92 161 322 644 12,541 25,082 50,164 87,787 175,574 288,443 351,148 576,886 1,153,772 2,019,101 4,038,202 8,076,404

Collatz Trajectory (137 steps to reach 1)

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

8,076,404 4,038,202 2,019,101 6,057,304 3,028,652 1,514,326 757,163 2,271,490 1,135,745 3,407,236 1,703,618 851,809 2,555,428 1,277,714 638,857 1,916,572 958,286 479,143 1,437,430 718,715 2,156,146 1,078,073 3,234,220 1,617,110 808,555 2,425,666 1,212,833 3,638,500 1,819,250 909,625 2,728,876 1,364,438 682,219 2,046,658 1,023,329 3,069,988 1,534,994 767,497 2,302,492 1,151,246 575,623 1,726,870 863,435 2,590,306 1,295,153 3,885,460 1,942,730 971,365 2,914,096 1,457,048 728,524 364,262 182,131 546,394 273,197 819,592 409,796 204,898 102,449 307,348

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,076,403 Browse Full Index Next Integer #8,076,405 →