4,617,481

11² × 31 × 1231

4,617,481 factors as 11^2 × 31 × 1231. Its 12 positive divisors give a proper-divisor sum of 625,911, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 11^2 × 31 × 1231

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,243,392

Proper Divisor Sum 625,911

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4617479 ← → #4617493

Radix Representation

Decimal	4617481
Binary	10001100111010100001001 (23 bits)
Octal	0o21472411
Hexadecimal	0x467509

Divisor Catalog (12)

1 11 31 121 341 1,231 3,751 13,541 38,161 148,951 419,771 4,617,481

Collatz Trajectory (105 steps to reach 1)

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

4,617,481 13,852,444 6,926,222 3,463,111 10,389,334 5,194,667 15,584,002 7,792,001 23,376,004 11,688,002 5,844,001 17,532,004 8,766,002 4,383,001 13,149,004 6,574,502 3,287,251 9,861,754 4,930,877 14,792,632 7,396,316 3,698,158 1,849,079 5,547,238 2,773,619 8,320,858 4,160,429 12,481,288 6,240,644 3,120,322 1,560,161 4,680,484 2,340,242 1,170,121 3,510,364 1,755,182 877,591 2,632,774 1,316,387 3,949,162 1,974,581 5,923,744 2,961,872 1,480,936 740,468 370,234 185,117 555,352 277,676 138,838 69,419 208,258 104,129 312,388 156,194 78,097 234,292 117,146 58,573 175,720

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