λ
Sigma Notebook

4,722,175

52 × 17 × 41 × 271
Deficient Odd Composite

4,722,175 is odd and not a perfect square. Its factorization is 5^2 × 17 × 41 × 271 and its 24 divisors sum to 6,374,592.

Prime Factor Structure

Factorization String 5^2 × 17 × 41 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,374,592
Proper Divisor Sum 1,652,417
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4722173 ← → #4722187

Radix Representation

Decimal 4722175
Binary 10010000000110111111111 (23 bits)
Octal 0o22006777
Hexadecimal 0x480DFF

Divisor Catalog (24)

1 5 17 25 41 85 205 271 425 697 1,025 1,355 3,485 4,607 6,775 11,111 17,425 23,035 55,555 115,175 188,887 277,775 944,435 4,722,175

Collatz Trajectory (237 steps to reach 1)

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

4,722,175 14,166,526 7,083,263 21,249,790 10,624,895 31,874,686 15,937,343 47,812,030 23,906,015 71,718,046 35,859,023 107,577,070 53,788,535 161,365,606 80,682,803 242,048,410 121,024,205 363,072,616 181,536,308 90,768,154 45,384,077 136,152,232 68,076,116 34,038,058 17,019,029 51,057,088 25,528,544 12,764,272 6,382,136 3,191,068 1,595,534 797,767 2,393,302 1,196,651 3,589,954 1,794,977 5,384,932 2,692,466 1,346,233 4,038,700 2,019,350 1,009,675 3,029,026 1,514,513 4,543,540 2,271,770 1,135,885 3,407,656 1,703,828 851,914 425,957 1,277,872 638,936 319,468 159,734 79,867 239,602 119,801 359,404 179,702

More profiles

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