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Atlas › Integer Profiles › Node 10,072,476

10,072,476

22 × 32 × 47 × 5953
Abundant Even Composite

10,072,476 factors as 2^2 × 3^2 × 47 × 5953. Its 36 positive divisors give a proper-divisor sum of 15,934,596, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 47 × 5953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 26,007,072
Proper Divisor Sum 15,934,596
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10072453 ← → #10072487

Radix Representation

Decimal 10072476
Binary 100110011011000110011100 (24 bits)
Octal 0o46330634
Hexadecimal 0x99B19C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1,692 5,953 11,906 17,859 23,812 35,718 53,577 71,436 107,154 214,308 279,791 559,582 839,373 1,119,164 1,678,746 2,518,119 3,357,492 5,036,238 10,072,476

Collatz Trajectory (251 steps to reach 1)

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

10,072,476 5,036,238 2,518,119 7,554,358 3,777,179 11,331,538 5,665,769 16,997,308 8,498,654 4,249,327 12,747,982 6,373,991 19,121,974 9,560,987 28,682,962 14,341,481 43,024,444 21,512,222 10,756,111 32,268,334 16,134,167 48,402,502 24,201,251 72,603,754 36,301,877 108,905,632 54,452,816 27,226,408 13,613,204 6,806,602 3,403,301 10,209,904 5,104,952 2,552,476 1,276,238 638,119 1,914,358 957,179 2,871,538 1,435,769 4,307,308 2,153,654 1,076,827 3,230,482 1,615,241 4,845,724 2,422,862 1,211,431 3,634,294 1,817,147 5,451,442 2,725,721 8,177,164 4,088,582 2,044,291 6,132,874 3,066,437 9,199,312 4,599,656 2,299,828

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