414,896

2⁴ × 25931

414,896 factors as 2^4 × 25931. Its 10 positive divisors give a proper-divisor sum of 388,996, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^4 × 25931

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 803,892

Proper Divisor Sum 388,996

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #414893 ← → #414899

Radix Representation

Decimal	414896
Binary	1100101010010110000 (19 bits)
Octal	0o1452260
Hexadecimal	0x654B0

Divisor Catalog (10)

1 2 4 8 16 25,931 51,862 103,724 207,448 414,896

Collatz Trajectory (174 steps to reach 1)

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

414,896 207,448 103,724 51,862 25,931 77,794 38,897 116,692 58,346 29,173 87,520 43,760 21,880 10,940 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644

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