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Atlas › Integer Profiles › Node 3,335,792

3,335,792

24 × 19 × 10973
Abundant Even Composite

3,335,792 factors as 2^4 × 19 × 10973. Its 20 positive divisors give a proper-divisor sum of 3,468,088, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 10973
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,803,880
Proper Divisor Sum 3,468,088
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3335789 ← → #3335803

Radix Representation

Decimal 3335792
Binary 1100101110011001110000 (22 bits)
Octal 0o14563160
Hexadecimal 0x32E670

Divisor Catalog (20)

1 2 4 8 16 19 38 76 152 304 10,973 21,946 43,892 87,784 175,568 208,487 416,974 833,948 1,667,896 3,335,792

Collatz Trajectory (84 steps to reach 1)

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

3,335,792 1,667,896 833,948 416,974 208,487 625,462 312,731 938,194 469,097 1,407,292 703,646 351,823 1,055,470 527,735 1,583,206 791,603 2,374,810 1,187,405 3,562,216 1,781,108 890,554 445,277 1,335,832 667,916 333,958 166,979 500,938 250,469 751,408 375,704 187,852 93,926 46,963 140,890 70,445 211,336 105,668 52,834 26,417 79,252 39,626 19,813 59,440 29,720 14,860 7,430 3,715 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98

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