4,841,968

2⁴ × 37 × 8179

4,841,968 factors as 2^4 × 37 × 8179. Its 20 positive divisors give a proper-divisor sum of 4,794,072, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 8179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,636,040

Proper Divisor Sum 4,794,072

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4841951 ← → #4841981

Radix Representation

Decimal	4841968
Binary	10010011110000111110000 (23 bits)
Octal	0o22360760
Hexadecimal	0x49E1F0

Divisor Catalog (20)

Collatz Trajectory (175 steps to reach 1)

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

4,841,968 2,420,984 1,210,492 605,246 302,623 907,870 453,935 1,361,806 680,903 2,042,710 1,021,355 3,064,066 1,532,033 4,596,100 2,298,050 1,149,025 3,447,076 1,723,538 861,769 2,585,308 1,292,654 646,327 1,938,982 969,491 2,908,474 1,454,237 4,362,712 2,181,356 1,090,678 545,339 1,636,018 818,009 2,454,028 1,227,014 613,507 1,840,522 920,261 2,760,784 1,380,392 690,196 345,098 172,549 517,648 258,824 129,412 64,706 32,353 97,060 48,530 24,265 72,796 36,398 18,199 54,598 27,299 81,898 40,949 122,848 61,424 30,712

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