1,681,948

2² × 199 × 2113

1,681,948 factors as 2^2 × 199 × 2113. Its 12 positive divisors give a proper-divisor sum of 1,277,652, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^2 × 199 × 2113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,959,600

Proper Divisor Sum 1,277,652

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1681931 ← → #1681957

Radix Representation

Decimal	1681948
Binary	110011010101000011100 (21 bits)
Octal	0o6325034
Hexadecimal	0x19AA1C

Divisor Catalog (12)

1 2 4 199 398 796 2,113 4,226 8,452 420,487 840,974 1,681,948

Collatz Trajectory (220 steps to reach 1)

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

1,681,948 840,974 420,487 1,261,462 630,731 1,892,194 946,097 2,838,292 1,419,146 709,573 2,128,720 1,064,360 532,180 266,090 133,045 399,136 199,568 99,784 49,892 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690

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