λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,470,124

21,470,124

22 × 3 × 13 × 229 × 601
Abundant Even Composite

21,470,124 factors as 2^2 × 3 × 13 × 229 × 601. Its 48 positive divisors give a proper-divisor sum of 32,806,196, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 229 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,276,320
Proper Divisor Sum 32,806,196
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #21470123 ← → #21470149

Radix Representation

Decimal 21470124
Binary 1010001111001101110101100 (25 bits)
Octal 0o121715654
Hexadecimal 0x1479BAC

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 156 229 458 601 687 916 1,202 1,374 1,803 2,404 2,748 2,977 3,606 5,954 7,212 7,813 8,931 11,908 15,626 17,862 23,439 31,252 35,724 46,878 93,756 137,629 275,258 412,887 550,516 825,774 1,651,548 1,789,177 3,578,354 5,367,531 7,156,708 10,735,062 21,470,124

Collatz Trajectory (146 steps to reach 1)

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

21,470,124 10,735,062 5,367,531 16,102,594 8,051,297 24,153,892 12,076,946 6,038,473 18,115,420 9,057,710 4,528,855 13,586,566 6,793,283 20,379,850 10,189,925 30,569,776 15,284,888 7,642,444 3,821,222 1,910,611 5,731,834 2,865,917 8,597,752 4,298,876 2,149,438 1,074,719 3,224,158 1,612,079 4,836,238 2,418,119 7,254,358 3,627,179 10,881,538 5,440,769 16,322,308 8,161,154 4,080,577 12,241,732 6,120,866 3,060,433 9,181,300 4,590,650 2,295,325 6,885,976 3,442,988 1,721,494 860,747 2,582,242 1,291,121 3,873,364 1,936,682 968,341 2,905,024 1,452,512 726,256 363,128 181,564 90,782 45,391 136,174

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #21,470,123 Browse Full Index Next Integer #21,470,125 →