2,100,007

7 × 13 × 47 × 491

2,100,007 factors as 7 × 13 × 47 × 491. Its 16 positive divisors give a proper-divisor sum of 544,985, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 7 × 13 × 47 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,644,992

Proper Divisor Sum 544,985

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #2100001 ← → #2100011

Radix Representation

Decimal	2100007
Binary	1000000000101100100111 (22 bits)
Octal	0o10005447
Hexadecimal	0x200B27

Divisor Catalog (16)

1 7 13 47 91 329 491 611 3,437 4,277 6,383 23,077 44,681 161,539 300,001 2,100,007

Collatz Trajectory (228 steps to reach 1)

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

2,100,007 6,300,022 3,150,011 9,450,034 4,725,017 14,175,052 7,087,526 3,543,763 10,631,290 5,315,645 15,946,936 7,973,468 3,986,734 1,993,367 5,980,102 2,990,051 8,970,154 4,485,077 13,455,232 6,727,616 3,363,808 1,681,904 840,952 420,476 210,238 105,119 315,358 157,679 473,038 236,519 709,558 354,779 1,064,338 532,169 1,596,508 798,254 399,127 1,197,382 598,691 1,796,074 898,037 2,694,112 1,347,056 673,528 336,764 168,382 84,191 252,574 126,287 378,862 189,431 568,294 284,147 852,442 426,221 1,278,664 639,332 319,666 159,833 479,500

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