λ
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465,201

32 × 11 × 37 × 127
Deficient Odd Composite

465,201 factors as 3^2 × 11 × 37 × 127. Its 24 positive divisors give a proper-divisor sum of 293,583, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 37 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 758,784
Proper Divisor Sum 293,583
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #465187 ← → #465209

Radix Representation

Decimal 465201
Binary 1110001100100110001 (19 bits)
Octal 0o1614461
Hexadecimal 0x71931

Divisor Catalog (24)

1 3 9 11 33 37 99 111 127 333 381 407 1,143 1,221 1,397 3,663 4,191 4,699 12,573 14,097 42,291 51,689 155,067 465,201

Collatz Trajectory (81 steps to reach 1)

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

465,201 1,395,604 697,802 348,901 1,046,704 523,352 261,676 130,838 65,419 196,258 98,129 294,388 147,194 73,597 220,792 110,396 55,198 27,599 82,798 41,399 124,198 62,099 186,298 93,149 279,448 139,724 69,862 34,931 104,794 52,397 157,192 78,596 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956

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