λ
Sigma Notebook

9,772,395

3 × 5 × 43 × 109 × 139
Deficient Odd Composite

9,772,395 is odd and not a perfect square. Its factorization is 3 × 5 × 43 × 109 × 139 and its 32 divisors sum to 16,262,400.

Prime Factor Structure

Factorization String 3 × 5 × 43 × 109 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,262,400
Proper Divisor Sum 6,490,005
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9772393 ← → #9772421

Radix Representation

Decimal 9772395
Binary 100101010001110101101011 (24 bits)
Octal 0o45216553
Hexadecimal 0x951D6B

Divisor Catalog (32)

1 3 5 15 43 109 129 139 215 327 417 545 645 695 1,635 2,085 4,687 5,977 14,061 15,151 17,931 23,435 29,885 45,453 70,305 75,755 89,655 227,265 651,493 1,954,479 3,257,465 9,772,395

Collatz Trajectory (176 steps to reach 1)

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

9,772,395 29,317,186 14,658,593 43,975,780 21,987,890 10,993,945 32,981,836 16,490,918 8,245,459 24,736,378 12,368,189 37,104,568 18,552,284 9,276,142 4,638,071 13,914,214 6,957,107 20,871,322 10,435,661 31,306,984 15,653,492 7,826,746 3,913,373 11,740,120 5,870,060 2,935,030 1,467,515 4,402,546 2,201,273 6,603,820 3,301,910 1,650,955 4,952,866 2,476,433 7,429,300 3,714,650 1,857,325 5,571,976 2,785,988 1,392,994 696,497 2,089,492 1,044,746 522,373 1,567,120 783,560 391,780 195,890 97,945 293,836 146,918 73,459 220,378 110,189 330,568 165,284 82,642 41,321 123,964 61,982

More profiles

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