2,101,570

2 × 5 × 210157

Starting at 2,101,570, the Collatz iteration reaches 1 after 91 steps. The first transition is 1050785; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 210157

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,782,844

Proper Divisor Sum 1,681,274

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2101553 ← → #2101607

Radix Representation

Decimal	2101570
Binary	1000000001000101000010 (22 bits)
Octal	0o10010502
Hexadecimal	0x201142

Divisor Catalog (8)

1 2 5 10 210,157 420,314 1,050,785 2,101,570

Collatz Trajectory (91 steps to reach 1)

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

2,101,570 1,050,785 3,152,356 1,576,178 788,089 2,364,268 1,182,134 591,067 1,773,202 886,601 2,659,804 1,329,902 664,951 1,994,854 997,427 2,992,282 1,496,141 4,488,424 2,244,212 1,122,106 561,053 1,683,160 841,580 420,790 210,395 631,186 315,593 946,780 473,390 236,695 710,086 355,043 1,065,130 532,565 1,597,696 798,848 399,424 199,712 99,856 49,928 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336

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