λ
Prime Ledger

8,472,450

2 × 3 × 52 × 7 × 8069
Abundant Even Composite

8,472,450 has the prime decomposition 2 × 3 × 5^2 × 7 × 8069. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 8069
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,016,320
Proper Divisor Sum 15,543,870
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8472433 ← → #8472463

Radix Representation

Decimal 8472450
Binary 100000010100011110000010 (24 bits)
Octal 0o40243602
Hexadecimal 0x814782

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1,050 8,069 16,138 24,207 40,345 48,414 56,483 80,690 112,966 121,035 169,449 201,725 242,070 282,415 338,898 403,450 564,830 605,175 847,245 1,210,350 1,412,075 1,694,490 2,824,150 4,236,225 8,472,450

Collatz Trajectory (199 steps to reach 1)

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

8,472,450 4,236,225 12,708,676 6,354,338 3,177,169 9,531,508 4,765,754 2,382,877 7,148,632 3,574,316 1,787,158 893,579 2,680,738 1,340,369 4,021,108 2,010,554 1,005,277 3,015,832 1,507,916 753,958 376,979 1,130,938 565,469 1,696,408 848,204 424,102 212,051 636,154 318,077 954,232 477,116 238,558 119,279 357,838 178,919 536,758 268,379 805,138 402,569 1,207,708 603,854 301,927 905,782 452,891 1,358,674 679,337 2,038,012 1,019,006 509,503 1,528,510 764,255 2,292,766 1,146,383 3,439,150 1,719,575 5,158,726 2,579,363 7,738,090 3,869,045 11,607,136

More profiles

← Previous Integer #8,472,449 Browse Full Index Next Integer #8,472,451 →