λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,831,738

30,831,738

2 × 3 × 7 × 521 × 1409
Abundant Even Composite

30,831,738 factors as 2 × 3 × 7 × 521 × 1409. Its 32 positive divisors give a proper-divisor sum of 39,826,182, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 521 × 1409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,657,920
Proper Divisor Sum 39,826,182
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #30831677 ← → #30831739

Radix Representation

Decimal 30831738
Binary 1110101100111010001111010 (25 bits)
Octal 0o165472172
Hexadecimal 0x1D6747A

Divisor Catalog (32)

1 2 3 6 7 14 21 42 521 1,042 1,409 1,563 2,818 3,126 3,647 4,227 7,294 8,454 9,863 10,941 19,726 21,882 29,589 59,178 734,089 1,468,178 2,202,267 4,404,534 5,138,623 10,277,246 15,415,869 30,831,738

Collatz Trajectory (219 steps to reach 1)

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

30,831,738 15,415,869 46,247,608 23,123,804 11,561,902 5,780,951 17,342,854 8,671,427 26,014,282 13,007,141 39,021,424 19,510,712 9,755,356 4,877,678 2,438,839 7,316,518 3,658,259 10,974,778 5,487,389 16,462,168 8,231,084 4,115,542 2,057,771 6,173,314 3,086,657 9,259,972 4,629,986 2,314,993 6,944,980 3,472,490 1,736,245 5,208,736 2,604,368 1,302,184 651,092 325,546 162,773 488,320 244,160 122,080 61,040 30,520 15,260 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #30,831,737 Browse Full Index Next Integer #30,831,739 →