2,052,001

7 × 53 × 5531

2,052,001 factors as 7 × 53 × 5531. Its 8 positive divisors give a proper-divisor sum of 337,823, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 7 × 53 × 5531

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,389,824

Proper Divisor Sum 337,823

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #2051999 ← → #2052023

Radix Representation

Decimal	2052001
Binary	111110100111110100001 (21 bits)
Octal	0o7647641
Hexadecimal	0x1F4FA1

Divisor Catalog (8)

1 7 53 371 5,531 38,717 293,143 2,052,001

Collatz Trajectory (135 steps to reach 1)

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

2,052,001 6,156,004 3,078,002 1,539,001 4,617,004 2,308,502 1,154,251 3,462,754 1,731,377 5,194,132 2,597,066 1,298,533 3,895,600 1,947,800 973,900 486,950 243,475 730,426 365,213 1,095,640 547,820 273,910 136,955 410,866 205,433 616,300 308,150 154,075 462,226 231,113 693,340 346,670 173,335 520,006 260,003 780,010 390,005 1,170,016 585,008 292,504 146,252 73,126 36,563 109,690 54,845 164,536 82,268 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016

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