λ
Integer Codex

9,737,961

3 × 3245987
Deficient Odd Composite

For 9,737,961, the 4 positive divisors have a total of 12,983,952. Removing 9,737,961 leaves 3,245,991, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 3245987
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,983,952
Proper Divisor Sum 3,245,991
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9737953 ← → #9737971

Radix Representation

Decimal 9737961
Binary 100101001001011011101001 (24 bits)
Octal 0o45113351
Hexadecimal 0x9496E9

Divisor Catalog (4)

1 3 3,245,987 9,737,961

Collatz Trajectory (119 steps to reach 1)

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

9,737,961 29,213,884 14,606,942 7,303,471 21,910,414 10,955,207 32,865,622 16,432,811 49,298,434 24,649,217 73,947,652 36,973,826 18,486,913 55,460,740 27,730,370 13,865,185 41,595,556 20,797,778 10,398,889 31,196,668 15,598,334 7,799,167 23,397,502 11,698,751 35,096,254 17,548,127 52,644,382 26,322,191 78,966,574 39,483,287 118,449,862 59,224,931 177,674,794 88,837,397 266,512,192 133,256,096 66,628,048 33,314,024 16,657,012 8,328,506 4,164,253 12,492,760 6,246,380 3,123,190 1,561,595 4,684,786 2,342,393 7,027,180 3,513,590 1,756,795 5,270,386 2,635,193 7,905,580 3,952,790 1,976,395 5,929,186 2,964,593 8,893,780 4,446,890 2,223,445

More profiles

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