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Atlas › Integer Profiles › Node 1,772,480

1,772,480

26 × 5 × 29 × 191
Abundant Even Composite

1,772,480 factors as 2^6 × 5 × 29 × 191. Its 56 positive divisors give a proper-divisor sum of 2,616,640, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 29 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 4,389,120
Proper Divisor Sum 2,616,640
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1772473 ← → #1772483

Radix Representation

Decimal 1772480
Binary 110110000101111000000 (21 bits)
Octal 0o6605700
Hexadecimal 0x1B0BC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 191 232 290 320 382 464 580 764 928 955 1,160 1,528 1,856 1,910 2,320 3,056 3,820 4,640 5,539 6,112 7,640 9,280 11,078 12,224 15,280 22,156 27,695 30,560 44,312 55,390 61,120 88,624 110,780 177,248 221,560 354,496 443,120 886,240 1,772,480

Collatz Trajectory (65 steps to reach 1)

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

1,772,480 886,240 443,120 221,560 110,780 55,390 27,695 83,086 41,543 124,630 62,315 186,946 93,473 280,420 140,210 70,105 210,316 105,158 52,579 157,738 78,869 236,608 118,304 59,152 29,576 14,788 7,394 3,697 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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