λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,470,728

67,470,728

23 × 13 × 229 × 2833
Abundant Even Composite

67,470,728 factors as 2^3 × 13 × 229 × 2833. Its 32 positive divisors give a proper-divisor sum of 69,411,472, so this integer is abundant. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 229 × 2833
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 136,882,200
Proper Divisor Sum 69,411,472
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #67470701 ← → #67470731

Radix Representation

Decimal 67470728
Binary 100000001011000010110001000 (27 bits)
Octal 0o401302610
Hexadecimal 0x4058588

Divisor Catalog (32)

1 2 4 8 13 26 52 104 229 458 916 1,832 2,833 2,977 5,666 5,954 11,332 11,908 22,664 23,816 36,829 73,658 147,316 294,632 648,757 1,297,514 2,595,028 5,190,056 8,433,841 16,867,682 33,735,364 67,470,728

Collatz Trajectory (277 steps to reach 1)

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

67,470,728 33,735,364 16,867,682 8,433,841 25,301,524 12,650,762 6,325,381 18,976,144 9,488,072 4,744,036 2,372,018 1,186,009 3,558,028 1,779,014 889,507 2,668,522 1,334,261 4,002,784 2,001,392 1,000,696 500,348 250,174 125,087 375,262 187,631 562,894 281,447 844,342 422,171 1,266,514 633,257 1,899,772 949,886 474,943 1,424,830 712,415 2,137,246 1,068,623 3,205,870 1,602,935 4,808,806 2,404,403 7,213,210 3,606,605 10,819,816 5,409,908 2,704,954 1,352,477 4,057,432 2,028,716 1,014,358 507,179 1,521,538 760,769 2,282,308 1,141,154 570,577 1,711,732 855,866 427,933

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #67,470,727 Browse Full Index Next Integer #67,470,729 →