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Atlas › Integer Profiles › Node 10,076,913

10,076,913

33 × 7 × 11 × 37 × 131
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 37 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,261,440
Proper Divisor Sum 9,184,527
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10076909 ← → #10076917

Radix Representation

Decimal 10076913
Binary 100110011100001011110001 (24 bits)
Octal 0o46341361
Hexadecimal 0x99C2F1

Divisor Catalog (60 of 64)

1 3 7 9 11 21 27 33 37 63 77 99 111 131 189 231 259 297 333 393 407 693 777 917 999 1,179 1,221 1,441 2,079 2,331 2,751 2,849 3,537 3,663 4,323 4,847 6,993 8,253 8,547 10,087 10,989 12,969 14,541 24,759 25,641 30,261 33,929 38,907 43,623 53,317 76,923 90,783 101,787 130,869 159,951 272,349 305,361 373,219 479,853 916,083

Collatz Trajectory (114 steps to reach 1)

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

10,076,913 30,230,740 15,115,370 7,557,685 22,673,056 11,336,528 5,668,264 2,834,132 1,417,066 708,533 2,125,600 1,062,800 531,400 265,700 132,850 66,425 199,276 99,638 49,819 149,458 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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