λ
Integer Codex

2,124,267

3 × 173 × 4093
Deficient Odd Composite

For 2,124,267, the 8 positive divisors have a total of 2,849,424. Removing 2,124,267 leaves 725,157, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 173 × 4093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,849,424
Proper Divisor Sum 725,157
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2124253 ← → #2124277

Radix Representation

Decimal 2124267
Binary 1000000110100111101011 (22 bits)
Octal 0o10064753
Hexadecimal 0x2069EB

Divisor Catalog (8)

1 3 173 519 4,093 12,279 708,089 2,124,267

Collatz Trajectory (197 steps to reach 1)

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

2,124,267 6,372,802 3,186,401 9,559,204 4,779,602 2,389,801 7,169,404 3,584,702 1,792,351 5,377,054 2,688,527 8,065,582 4,032,791 12,098,374 6,049,187 18,147,562 9,073,781 27,221,344 13,610,672 6,805,336 3,402,668 1,701,334 850,667 2,552,002 1,276,001 3,828,004 1,914,002 957,001 2,871,004 1,435,502 717,751 2,153,254 1,076,627 3,229,882 1,614,941 4,844,824 2,422,412 1,211,206 605,603 1,816,810 908,405 2,725,216 1,362,608 681,304 340,652 170,326 85,163 255,490 127,745 383,236 191,618 95,809 287,428 143,714 71,857 215,572 107,786 53,893 161,680 80,840

More profiles

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