λ
Modular Archive

4,724,391

3 × 7 × 367 × 613
Deficient Odd Composite

The decimal integer 4,724,391 is 10010000001011010100111 in binary (23 bits), 22013247 in octal and 4816A7 in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 3 × 7 × 367 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,230,464
Proper Divisor Sum 2,506,073
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4724383 ← → #4724429

Radix Representation

Decimal 4724391
Binary 10010000001011010100111 (23 bits)
Octal 0o22013247
Hexadecimal 0x4816A7

Divisor Catalog (16)

1 3 7 21 367 613 1,101 1,839 2,569 4,291 7,707 12,873 224,971 674,913 1,574,797 4,724,391

Collatz Trajectory (224 steps to reach 1)

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

4,724,391 14,173,174 7,086,587 21,259,762 10,629,881 31,889,644 15,944,822 7,972,411 23,917,234 11,958,617 35,875,852 17,937,926 8,968,963 26,906,890 13,453,445 40,360,336 20,180,168 10,090,084 5,045,042 2,522,521 7,567,564 3,783,782 1,891,891 5,675,674 2,837,837 8,513,512 4,256,756 2,128,378 1,064,189 3,192,568 1,596,284 798,142 399,071 1,197,214 598,607 1,795,822 897,911 2,693,734 1,346,867 4,040,602 2,020,301 6,060,904 3,030,452 1,515,226 757,613 2,272,840 1,136,420 568,210 284,105 852,316 426,158 213,079 639,238 319,619 958,858 479,429 1,438,288 719,144 359,572 179,786

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