λ
Integer Codex

7,615,359

32 × 241 × 3511
Deficient Odd Composite

For 7,615,359, the 12 positive divisors have a total of 11,048,752. Removing 7,615,359 leaves 3,433,393, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 241 × 3511
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,048,752
Proper Divisor Sum 3,433,393
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7615357 ← → #7615379

Radix Representation

Decimal 7615359
Binary 11101000011001101111111 (23 bits)
Octal 0o35031577
Hexadecimal 0x74337F

Divisor Catalog (12)

1 3 9 241 723 2,169 3,511 10,533 31,599 846,151 2,538,453 7,615,359

Collatz Trajectory (129 steps to reach 1)

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

7,615,359 22,846,078 11,423,039 34,269,118 17,134,559 51,403,678 25,701,839 77,105,518 38,552,759 115,658,278 57,829,139 173,487,418 86,743,709 260,231,128 130,115,564 65,057,782 32,528,891 97,586,674 48,793,337 146,380,012 73,190,006 36,595,003 109,785,010 54,892,505 164,677,516 82,338,758 41,169,379 123,508,138 61,754,069 185,262,208 92,631,104 46,315,552 23,157,776 11,578,888 5,789,444 2,894,722 1,447,361 4,342,084 2,171,042 1,085,521 3,256,564 1,628,282 814,141 2,442,424 1,221,212 610,606 305,303 915,910 457,955 1,373,866 686,933 2,060,800 1,030,400 515,200 257,600 128,800 64,400 32,200 16,100 8,050

More profiles

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