2,171,519

7 × 31 × 10007

Starting at 2,171,519, the Collatz iteration reaches 1 after 210 steps. The first transition is 6514558; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 31 × 10007

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,562,048

Proper Divisor Sum 390,529

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2171509 ← → #2171527

Radix Representation

Decimal	2171519
Binary	1000010010001001111111 (22 bits)
Octal	0o10221177
Hexadecimal	0x21227F

Divisor Catalog (8)

1 7 31 217 10,007 70,049 310,217 2,171,519

Collatz Trajectory (210 steps to reach 1)

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

2,171,519 6,514,558 3,257,279 9,771,838 4,885,919 14,657,758 7,328,879 21,986,638 10,993,319 32,979,958 16,489,979 49,469,938 24,734,969 74,204,908 37,102,454 18,551,227 55,653,682 27,826,841 83,480,524 41,740,262 20,870,131 62,610,394 31,305,197 93,915,592 46,957,796 23,478,898 11,739,449 35,218,348 17,609,174 8,804,587 26,413,762 13,206,881 39,620,644 19,810,322 9,905,161 29,715,484 14,857,742 7,428,871 22,286,614 11,143,307 33,429,922 16,714,961 50,144,884 25,072,442 12,536,221 37,608,664 18,804,332 9,402,166 4,701,083 14,103,250 7,051,625 21,154,876 10,577,438 5,288,719 15,866,158 7,933,079 23,799,238 11,899,619 35,698,858 17,849,429

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