8,017,840

2⁴ × 5 × 31 × 53 × 61

8,017,840 factors as 2^4 × 5 × 31 × 53 × 61. Its 80 positive divisors give a proper-divisor sum of 11,909,456, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 53 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 19,927,296

Proper Divisor Sum 11,909,456

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8017819 ← → #8017843

Radix Representation

Decimal	8017840
Binary	11110100101011110110000 (23 bits)
Octal	0o36453660
Hexadecimal	0x7A57B0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 31 40 53 61 62 80 106 122 124 155 212 244 248 265 305 310 424 488 496 530 610 620 848 976 1,060 1,220 1,240 1,643 1,891 2,120 2,440 2,480 3,233 3,286 3,782 4,240 4,880 6,466 6,572 7,564 8,215 9,455 12,932 13,144 15,128 16,165 16,430 18,910 25,864 26,288 30,256 32,330

Collatz Trajectory (142 steps to reach 1)

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

8,017,840 4,008,920 2,004,460 1,002,230 501,115 1,503,346 751,673 2,255,020 1,127,510 563,755 1,691,266 845,633 2,536,900 1,268,450 634,225 1,902,676 951,338 475,669 1,427,008 713,504 356,752 178,376 89,188 44,594 22,297 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866

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