7,282,723

7² × 148627

7,282,723 factors as 7^2 × 148627. Its 6 positive divisors give a proper-divisor sum of 1,189,073, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 7^2 × 148627

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,471,796

Proper Divisor Sum 1,189,073

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7282679 ← → #7282739

Radix Representation

Decimal	7282723
Binary	11011110010000000100011 (23 bits)
Octal	0o33620043
Hexadecimal	0x6F2023

Divisor Catalog (6)

1 7 49 148,627 1,040,389 7,282,723

Collatz Trajectory (111 steps to reach 1)

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

7,282,723 21,848,170 10,924,085 32,772,256 16,386,128 8,193,064 4,096,532 2,048,266 1,024,133 3,072,400 1,536,200 768,100 384,050 192,025 576,076 288,038 144,019 432,058 216,029 648,088 324,044 162,022 81,011 243,034 121,517 364,552 182,276 91,138 45,569 136,708 68,354 34,177 102,532 51,266 25,633 76,900 38,450 19,225 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700

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