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Atlas › Integer Profiles › Node 46,725,056

46,725,056

26 × 7 × 104297
Abundant Even Composite

46,725,056 factors as 2^6 × 7 × 104297. Its 28 positive divisors give a proper-divisor sum of 59,241,712, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 104297
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 105,966,768
Proper Divisor Sum 59,241,712
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #46725011 ← → #46725071

Radix Representation

Decimal 46725056
Binary 10110010001111011111000000 (26 bits)
Octal 0o262173700
Hexadecimal 0x2C8F7C0

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 104,297 208,594 417,188 730,079 834,376 1,460,158 1,668,752 2,920,316 3,337,504 5,840,632 6,675,008 11,681,264 23,362,528 46,725,056

Collatz Trajectory (186 steps to reach 1)

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

46,725,056 23,362,528 11,681,264 5,840,632 2,920,316 1,460,158 730,079 2,190,238 1,095,119 3,285,358 1,642,679 4,928,038 2,464,019 7,392,058 3,696,029 11,088,088 5,544,044 2,772,022 1,386,011 4,158,034 2,079,017 6,237,052 3,118,526 1,559,263 4,677,790 2,338,895 7,016,686 3,508,343 10,525,030 5,262,515 15,787,546 7,893,773 23,681,320 11,840,660 5,920,330 2,960,165 8,880,496 4,440,248 2,220,124 1,110,062 555,031 1,665,094 832,547 2,497,642 1,248,821 3,746,464 1,873,232 936,616 468,308 234,154 117,077 351,232 175,616 87,808 43,904 21,952 10,976 5,488 2,744 1,372

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