1,336,080

2⁴ × 3 × 5 × 19 × 293

For 1,336,080, the 80 positive divisors have a total of 4,374,720. Removing 1,336,080 leaves 3,038,640, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 19 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 4,374,720

Proper Divisor Sum 3,038,640

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1336057 ← → #1336091

Radix Representation

Decimal	1336080
Binary	101000110001100010000 (21 bits)
Octal	0o5061420
Hexadecimal	0x146310

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 293 304 380 456 570 586 760 879 912 1,140 1,172 1,465 1,520 1,758 2,280 2,344 2,930 3,516 4,395 4,560 4,688 5,567 5,860 7,032 8,790 11,134 11,720 14,064 16,701 17,580

Collatz Trajectory (93 steps to reach 1)

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

1,336,080 668,040 334,020 167,010 83,505 250,516 125,258 62,629 187,888 93,944 46,972 23,486 11,743 35,230 17,615 52,846 26,423 79,270 39,635 118,906 59,453 178,360 89,180 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236

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