2,176,993

7 × 13 × 47 × 509

2,176,993 factors as 7 × 13 × 47 × 509. Its 16 positive divisors give a proper-divisor sum of 564,767, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 7 × 13 × 47 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,741,760

Proper Divisor Sum 564,767

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2176957 ← → #2176997

Radix Representation

Decimal	2176993
Binary	1000010011011111100001 (22 bits)
Octal	0o10233741
Hexadecimal	0x2137E1

Divisor Catalog (16)

1 7 13 47 91 329 509 611 3,563 4,277 6,617 23,923 46,319 167,461 310,999 2,176,993

Collatz Trajectory (210 steps to reach 1)

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

2,176,993 6,530,980 3,265,490 1,632,745 4,898,236 2,449,118 1,224,559 3,673,678 1,836,839 5,510,518 2,755,259 8,265,778 4,132,889 12,398,668 6,199,334 3,099,667 9,299,002 4,649,501 13,948,504 6,974,252 3,487,126 1,743,563 5,230,690 2,615,345 7,846,036 3,923,018 1,961,509 5,884,528 2,942,264 1,471,132 735,566 367,783 1,103,350 551,675 1,655,026 827,513 2,482,540 1,241,270 620,635 1,861,906 930,953 2,792,860 1,396,430 698,215 2,094,646 1,047,323 3,141,970 1,570,985 4,712,956 2,356,478 1,178,239 3,534,718 1,767,359 5,302,078 2,651,039 7,953,118 3,976,559 11,929,678 5,964,839 17,894,518

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