10,076,949

3² × 29 × 38609

10,076,949 factors as 3^2 × 29 × 38609. Its 12 positive divisors give a proper-divisor sum of 4,980,951, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 38609

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,057,900

Proper Divisor Sum 4,980,951

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #10076917 ← → #10076951

Radix Representation

Decimal	10076949
Binary	100110011100001100010101 (24 bits)
Octal	0o46341425
Hexadecimal	0x99C315

Divisor Catalog (12)

1 3 9 29 87 261 38,609 115,827 347,481 1,119,661 3,358,983 10,076,949

Collatz Trajectory (114 steps to reach 1)

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

10,076,949 30,230,848 15,115,424 7,557,712 3,778,856 1,889,428 944,714 472,357 1,417,072 708,536 354,268 177,134 88,567 265,702 132,851 398,554 199,277 597,832 298,916 149,458 74,729 224,188 112,094 56,047 168,142 84,071 252,214 126,107 378,322 189,161 567,484 283,742 141,871 425,614 212,807 638,422 319,211 957,634 478,817 1,436,452 718,226 359,113 1,077,340 538,670 269,335 808,006 404,003 1,212,010 606,005 1,818,016 909,008 454,504 227,252 113,626 56,813 170,440 85,220 42,610 21,305 63,916

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