2,101,021

13 × 29 × 5573

For 2,101,021, the 8 positive divisors have a total of 2,341,080. Removing 2,101,021 leaves 240,059, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 29 × 5573

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,341,080

Proper Divisor Sum 240,059

Digit Sum / Digital Root 7 (Root: 7)

Adjacent Primes #2101019 ← → #2101051

Radix Representation

Decimal	2101021
Binary	1000000000111100011101 (22 bits)
Octal	0o10007435
Hexadecimal	0x200F1D

Divisor Catalog (8)

1 13 29 377 5,573 72,449 161,617 2,101,021

Collatz Trajectory (127 steps to reach 1)

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

2,101,021 6,303,064 3,151,532 1,575,766 787,883 2,363,650 1,181,825 3,545,476 1,772,738 886,369 2,659,108 1,329,554 664,777 1,994,332 997,166 498,583 1,495,750 747,875 2,243,626 1,121,813 3,365,440 1,682,720 841,360 420,680 210,340 105,170 52,585 157,756 78,878 39,439 118,318 59,159 177,478 88,739 266,218 133,109 399,328 199,664 99,832 49,916 24,958 12,479 37,438 18,719 56,158 28,079 84,238 42,119 126,358 63,179 189,538 94,769 284,308 142,154 71,077 213,232 106,616 53,308 26,654 13,327

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