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Atlas › Integer Profiles › Node 15,768,216

15,768,216

23 × 33 × 37 × 1973
Abundant Even Composite

15,768,216 factors as 2^3 × 3^3 × 37 × 1973. Its 64 positive divisors give a proper-divisor sum of 29,238,984, so this integer is abundant. The Collatz stopping time is 368 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 37 × 1973
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 45,007,200
Proper Divisor Sum 29,238,984
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #15768211 ← → #15768239

Radix Representation

Decimal 15768216
Binary 111100001001101010011000 (24 bits)
Octal 0o74115230
Hexadecimal 0xF09A98

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1,332 1,973 1,998 2,664 3,946 3,996 5,919 7,892 7,992 11,838 15,784 17,757 23,676 35,514 47,352 53,271 71,028 73,001 106,542 142,056 146,002 213,084 219,003 292,004 426,168 438,006 584,008 657,009 876,012 1,314,018 1,752,024 1,971,027 2,628,036

Collatz Trajectory (368 steps to reach 1)

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

15,768,216 7,884,108 3,942,054 1,971,027 5,913,082 2,956,541 8,869,624 4,434,812 2,217,406 1,108,703 3,326,110 1,663,055 4,989,166 2,494,583 7,483,750 3,741,875 11,225,626 5,612,813 16,838,440 8,419,220 4,209,610 2,104,805 6,314,416 3,157,208 1,578,604 789,302 394,651 1,183,954 591,977 1,775,932 887,966 443,983 1,331,950 665,975 1,997,926 998,963 2,996,890 1,498,445 4,495,336 2,247,668 1,123,834 561,917 1,685,752 842,876 421,438 210,719 632,158 316,079 948,238 474,119 1,422,358 711,179 2,133,538 1,066,769 3,200,308 1,600,154 800,077 2,400,232 1,200,116 600,058

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