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4,416,616

23 × 37 × 43 × 347
Deficient Even Composite

4,416,616 factors as 2^3 × 37 × 43 × 347. Its 32 positive divisors give a proper-divisor sum of 4,311,224, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 43 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,727,840
Proper Divisor Sum 4,311,224
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4416611 ← → #4416623

Radix Representation

Decimal 4416616
Binary 10000110110010001101000 (23 bits)
Octal 0o20662150
Hexadecimal 0x436468

Divisor Catalog (32)

1 2 4 8 37 43 74 86 148 172 296 344 347 694 1,388 1,591 2,776 3,182 6,364 12,728 12,839 14,921 25,678 29,842 51,356 59,684 102,712 119,368 552,077 1,104,154 2,208,308 4,416,616

Collatz Trajectory (180 steps to reach 1)

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

4,416,616 2,208,308 1,104,154 552,077 1,656,232 828,116 414,058 207,029 621,088 310,544 155,272 77,636 38,818 19,409 58,228 29,114 14,557 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155

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