λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,504,474

9,504,474

2 × 3 × 7 × 23 × 9839
Abundant Even Composite

9,504,474 factors as 2 × 3 × 7 × 23 × 9839. Its 32 positive divisors give a proper-divisor sum of 13,166,886, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 9839
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,671,360
Proper Divisor Sum 13,166,886
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9504457 ← → #9504493

Radix Representation

Decimal 9504474
Binary 100100010000011011011010 (24 bits)
Octal 0o44203332
Hexadecimal 0x9106DA

Divisor Catalog (32)

1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 9,839 19,678 29,517 59,034 68,873 137,746 206,619 226,297 413,238 452,594 678,891 1,357,782 1,584,079 3,168,158 4,752,237 9,504,474

Collatz Trajectory (150 steps to reach 1)

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

9,504,474 4,752,237 14,256,712 7,128,356 3,564,178 1,782,089 5,346,268 2,673,134 1,336,567 4,009,702 2,004,851 6,014,554 3,007,277 9,021,832 4,510,916 2,255,458 1,127,729 3,383,188 1,691,594 845,797 2,537,392 1,268,696 634,348 317,174 158,587 475,762 237,881 713,644 356,822 178,411 535,234 267,617 802,852 401,426 200,713 602,140 301,070 150,535 451,606 225,803 677,410 338,705 1,016,116 508,058 254,029 762,088 381,044 190,522 95,261 285,784 142,892 71,446 35,723 107,170 53,585 160,756 80,378 40,189 120,568 60,284

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,504,473 Browse Full Index Next Integer #9,504,475 →