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5,776,840

23 × 5 × 139 × 1039
Abundant Even Composite

5,776,840 factors as 2^3 × 5 × 139 × 1039. Its 32 positive divisors give a proper-divisor sum of 7,327,160, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 139 × 1039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,104,000
Proper Divisor Sum 7,327,160
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5776831 ← → #5776853

Radix Representation

Decimal 5776840
Binary 10110000010010111001000 (23 bits)
Octal 0o26022710
Hexadecimal 0x5825C8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 139 278 556 695 1,039 1,112 1,390 2,078 2,780 4,156 5,195 5,560 8,312 10,390 20,780 41,560 144,421 288,842 577,684 722,105 1,155,368 1,444,210 2,888,420 5,776,840

Collatz Trajectory (157 steps to reach 1)

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

5,776,840 2,888,420 1,444,210 722,105 2,166,316 1,083,158 541,579 1,624,738 812,369 2,437,108 1,218,554 609,277 1,827,832 913,916 456,958 228,479 685,438 342,719 1,028,158 514,079 1,542,238 771,119 2,313,358 1,156,679 3,470,038 1,735,019 5,205,058 2,602,529 7,807,588 3,903,794 1,951,897 5,855,692 2,927,846 1,463,923 4,391,770 2,195,885 6,587,656 3,293,828 1,646,914 823,457 2,470,372 1,235,186 617,593 1,852,780 926,390 463,195 1,389,586 694,793 2,084,380 1,042,190 521,095 1,563,286 781,643 2,344,930 1,172,465 3,517,396 1,758,698 879,349 2,638,048 1,319,024

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