2,130,279

3 × 179 × 3967

Starting at 2,130,279, the Collatz iteration reaches 1 after 197 steps. The first transition is 6390838; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 179 × 3967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,856,960

Proper Divisor Sum 726,681

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2130269 ← → #2130307

Radix Representation

Decimal	2130279
Binary	1000001000000101100111 (22 bits)
Octal	0o10100547
Hexadecimal	0x208167

Divisor Catalog (8)

1 3 179 537 3,967 11,901 710,093 2,130,279

Collatz Trajectory (197 steps to reach 1)

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

2,130,279 6,390,838 3,195,419 9,586,258 4,793,129 14,379,388 7,189,694 3,594,847 10,784,542 5,392,271 16,176,814 8,088,407 24,265,222 12,132,611 36,397,834 18,198,917 54,596,752 27,298,376 13,649,188 6,824,594 3,412,297 10,236,892 5,118,446 2,559,223 7,677,670 3,838,835 11,516,506 5,758,253 17,274,760 8,637,380 4,318,690 2,159,345 6,478,036 3,239,018 1,619,509 4,858,528 2,429,264 1,214,632 607,316 303,658 151,829 455,488 227,744 113,872 56,936 28,468 14,234 7,117 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254

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