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4,693,808

24 × 72 × 5987
Abundant Even Composite

4,693,808 factors as 2^4 × 7^2 × 5987. Its 30 positive divisors give a proper-divisor sum of 5,886,988, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 5987
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 10,580,796
Proper Divisor Sum 5,886,988
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4693763 ← → #4693811

Radix Representation

Decimal 4693808
Binary 10001111001111100110000 (23 bits)
Octal 0o21717460
Hexadecimal 0x479F30

Divisor Catalog (30)

1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 5,987 11,974 23,948 41,909 47,896 83,818 95,792 167,636 293,363 335,272 586,726 670,544 1,173,452 2,346,904 4,693,808

Collatz Trajectory (100 steps to reach 1)

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

4,693,808 2,346,904 1,173,452 586,726 293,363 880,090 440,045 1,320,136 660,068 330,034 165,017 495,052 247,526 123,763 371,290 185,645 556,936 278,468 139,234 69,617 208,852 104,426 52,213 156,640 78,320 39,160 19,580 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966

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