λ
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Atlas › Integer Profiles › Node 7,601,769

7,601,769

35 × 7 × 41 × 109
Deficient Odd Composite

7,601,769 factors as 3^5 × 7 × 41 × 109. Its 48 positive divisors give a proper-divisor sum of 5,851,671, so this integer is deficient. The Collatz stopping time is 310 steps.

Prime Factor Structure

Factorization String 3^5 × 7 × 41 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,453,440
Proper Divisor Sum 5,851,671
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7601749 ← → #7601777

Radix Representation

Decimal 7601769
Binary 11100111111111001101001 (23 bits)
Octal 0o34777151
Hexadecimal 0x73FE69

Divisor Catalog (48)

1 3 7 9 21 27 41 63 81 109 123 189 243 287 327 369 567 763 861 981 1,107 1,701 2,289 2,583 2,943 3,321 4,469 6,867 7,749 8,829 9,963 13,407 20,601 23,247 26,487 31,283 40,221 61,803 69,741 93,849 120,663 185,409 281,547 361,989 844,641 1,085,967 2,533,923 7,601,769

Collatz Trajectory (310 steps to reach 1)

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

7,601,769 22,805,308 11,402,654 5,701,327 17,103,982 8,551,991 25,655,974 12,827,987 38,483,962 19,241,981 57,725,944 28,862,972 14,431,486 7,215,743 21,647,230 10,823,615 32,470,846 16,235,423 48,706,270 24,353,135 73,059,406 36,529,703 109,589,110 54,794,555 164,383,666 82,191,833 246,575,500 123,287,750 61,643,875 184,931,626 92,465,813 277,397,440 138,698,720 69,349,360 34,674,680 17,337,340 8,668,670 4,334,335 13,003,006 6,501,503 19,504,510 9,752,255 29,256,766 14,628,383 43,885,150 21,942,575 65,827,726 32,913,863 98,741,590 49,370,795 148,112,386 74,056,193 222,168,580 111,084,290 55,542,145 166,626,436 83,313,218 41,656,609 124,969,828 62,484,914

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