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Atlas › Integer Profiles › Node 4,300,172

4,300,172

22 × 23 × 43 × 1087
Deficient Even Composite

4,300,172 factors as 2^2 × 23 × 43 × 1087. Its 24 positive divisors give a proper-divisor sum of 3,742,324, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 43 × 1087
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,042,496
Proper Divisor Sum 3,742,324
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4300157 ← → #4300181

Radix Representation

Decimal 4300172
Binary 10000011001110110001100 (23 bits)
Octal 0o20316614
Hexadecimal 0x419D8C

Divisor Catalog (24)

1 2 4 23 43 46 86 92 172 989 1,087 1,978 2,174 3,956 4,348 25,001 46,741 50,002 93,482 100,004 186,964 1,075,043 2,150,086 4,300,172

Collatz Trajectory (74 steps to reach 1)

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

4,300,172 2,150,086 1,075,043 3,225,130 1,612,565 4,837,696 2,418,848 1,209,424 604,712 302,356 151,178 75,589 226,768 113,384 56,692 28,346 14,173 42,520 21,260 10,630 5,315 15,946 7,973 23,920 11,960 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22

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