λ
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Atlas › Integer Profiles › Node 1,773,760

1,773,760

26 × 5 × 23 × 241
Abundant Even Composite

1,773,760 factors as 2^6 × 5 × 23 × 241. Its 56 positive divisors give a proper-divisor sum of 2,651,936, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 23 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 4,425,696
Proper Divisor Sum 2,651,936
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1773749 ← → #1773767

Radix Representation

Decimal 1773760
Binary 110110001000011000000 (21 bits)
Octal 0o6610300
Hexadecimal 0x1B10C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 241 320 368 460 482 736 920 964 1,205 1,472 1,840 1,928 2,410 3,680 3,856 4,820 5,543 7,360 7,712 9,640 11,086 15,424 19,280 22,172 27,715 38,560 44,344 55,430 77,120 88,688 110,860 177,376 221,720 354,752 443,440 886,880 1,773,760

Collatz Trajectory (158 steps to reach 1)

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

1,773,760 886,880 443,440 221,720 110,860 55,430 27,715 83,146 41,573 124,720 62,360 31,180 15,590 7,795 23,386 11,693 35,080 17,540 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322

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