λ
Integer Codex

4,723,073

23 × 173 × 1187
Deficient Odd Composite

For 4,723,073, the 8 positive divisors have a total of 4,961,088. Removing 4,723,073 leaves 238,015, which gives the deficient classification.

Prime Factor Structure

Factorization String 23 × 173 × 1187
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,961,088
Proper Divisor Sum 238,015
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4723057 ← → #4723091

Radix Representation

Decimal 4723073
Binary 10010000001000110000001 (23 bits)
Octal 0o22010601
Hexadecimal 0x481181

Divisor Catalog (8)

1 23 173 1,187 3,979 27,301 205,351 4,723,073

Collatz Trajectory (100 steps to reach 1)

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

4,723,073 14,169,220 7,084,610 3,542,305 10,626,916 5,313,458 2,656,729 7,970,188 3,985,094 1,992,547 5,977,642 2,988,821 8,966,464 4,483,232 2,241,616 1,120,808 560,404 280,202 140,101 420,304 210,152 105,076 52,538 26,269 78,808 39,404 19,702 9,851 29,554 14,777 44,332 22,166 11,083 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836

More profiles

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