λ
Integer Codex

375,527

375527
Deficient Odd Prime

For 375,527, the 2 positive divisors have a total of 375,528. Removing 375,527 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 375527
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 375,528
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #375523 ← → #375533

Radix Representation

Decimal 375527
Binary 1011011101011100111 (19 bits)
Octal 0o1335347
Hexadecimal 0x5BAE7

Divisor Catalog (2)

Collatz Trajectory (197 steps to reach 1)

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

375,527 1,126,582 563,291 1,689,874 844,937 2,534,812 1,267,406 633,703 1,901,110 950,555 2,851,666 1,425,833 4,277,500 2,138,750 1,069,375 3,208,126 1,604,063 4,812,190 2,406,095 7,218,286 3,609,143 10,827,430 5,413,715 16,241,146 8,120,573 24,361,720 12,180,860 6,090,430 3,045,215 9,135,646 4,567,823 13,703,470 6,851,735 20,555,206 10,277,603 30,832,810 15,416,405 46,249,216 23,124,608 11,562,304 5,781,152 2,890,576 1,445,288 722,644 361,322 180,661 541,984 270,992 135,496 67,748 33,874 16,937 50,812 25,406 12,703 38,110 19,055 57,166 28,583 85,750

More profiles

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