λ
Modular Archive

722,467

722467
Deficient Odd Prime

The decimal integer 722,467 is 10110000011000100011 in binary (20 bits), 2603043 in octal and B0623 in hexadecimal. Its digit sum is 28.

Prime Factor Structure

Factorization String 722467
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 722,468
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #722459 ← → #722479

Radix Representation

Decimal 722467
Binary 10110000011000100011 (20 bits)
Octal 0o2603043
Hexadecimal 0xB0623

Divisor Catalog (2)

1 722,467

Collatz Trajectory (211 steps to reach 1)

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

722,467 2,167,402 1,083,701 3,251,104 1,625,552 812,776 406,388 203,194 101,597 304,792 152,396 76,198 38,099 114,298 57,149 171,448 85,724 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585

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