λ
Integer Codex

2,167,723

2167723
Deficient Odd Prime

For 2,167,723, the 2 positive divisors have a total of 2,167,724. Removing 2,167,723 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2167723
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,167,724
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2167717 ← → #2167741

Radix Representation

Decimal 2167723
Binary 1000010001001110101011 (22 bits)
Octal 0o10211653
Hexadecimal 0x2113AB

Divisor Catalog (2)

1 2,167,723

Collatz Trajectory (117 steps to reach 1)

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

2,167,723 6,503,170 3,251,585 9,754,756 4,877,378 2,438,689 7,316,068 3,658,034 1,829,017 5,487,052 2,743,526 1,371,763 4,115,290 2,057,645 6,172,936 3,086,468 1,543,234 771,617 2,314,852 1,157,426 578,713 1,736,140 868,070 434,035 1,302,106 651,053 1,953,160 976,580 488,290 244,145 732,436 366,218 183,109 549,328 274,664 137,332 68,666 34,333 103,000 51,500 25,750 12,875 38,626 19,313 57,940 28,970 14,485 43,456 21,728 10,864 5,432 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294

More profiles

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