λ
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Atlas › Integer Profiles › Node 1,736,070

1,736,070

2 × 3 × 5 × 72 × 1181
Abundant Even Composite

1,736,070 factors as 2 × 3 × 5 × 7^2 × 1181. Its 48 positive divisors give a proper-divisor sum of 3,114,858, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 1181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,850,928
Proper Divisor Sum 3,114,858
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1736051 ← → #1736071

Radix Representation

Decimal 1736070
Binary 110100111110110000110 (21 bits)
Octal 0o6476606
Hexadecimal 0x1A7D86

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1,181 1,470 2,362 3,543 5,905 7,086 8,267 11,810 16,534 17,715 24,801 35,430 41,335 49,602 57,869 82,670 115,738 124,005 173,607 248,010 289,345 347,214 578,690 868,035 1,736,070

Collatz Trajectory (127 steps to reach 1)

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

1,736,070 868,035 2,604,106 1,302,053 3,906,160 1,953,080 976,540 488,270 244,135 732,406 366,203 1,098,610 549,305 1,647,916 823,958 411,979 1,235,938 617,969 1,853,908 926,954 463,477 1,390,432 695,216 347,608 173,804 86,902 43,451 130,354 65,177 195,532 97,766 48,883 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076

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