λ
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Atlas › Integer Profiles › Node 1,034,720

1,034,720

25 × 5 × 29 × 223
Abundant Even Composite

1,034,720 factors as 2^5 × 5 × 29 × 223. Its 48 positive divisors give a proper-divisor sum of 1,505,440, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 29 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,540,160
Proper Divisor Sum 1,505,440
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1034707 ← → #1034729

Radix Representation

Decimal 1034720
Binary 11111100100111100000 (20 bits)
Octal 0o3744740
Hexadecimal 0xFC9E0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 223 232 290 446 464 580 892 928 1,115 1,160 1,784 2,230 2,320 3,568 4,460 4,640 6,467 7,136 8,920 12,934 17,840 25,868 32,335 35,680 51,736 64,670 103,472 129,340 206,944 258,680 517,360 1,034,720

Collatz Trajectory (77 steps to reach 1)

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

1,034,720 517,360 258,680 129,340 64,670 32,335 97,006 48,503 145,510 72,755 218,266 109,133 327,400 163,700 81,850 40,925 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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