61,248

2⁶ × 3 × 11 × 29

61,248 has digital root 3. The neighboring primes are 61231 and 61253; its proper-divisor sum differs from the starting integer by 60,384.

Prime Factor Structure

Factorization String 2^6 × 3 × 11 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 182,880

Proper Divisor Sum 121,632

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #61231 ← → #61253

Radix Representation

Decimal	61248
Binary	1110111101000000 (16 bits)
Octal	0o167500
Hexadecimal	0xEF40

Divisor Catalog (56)

1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1,056 1,276 1,392 1,856 1,914 2,112 2,552 2,784 3,828 5,104 5,568 7,656 10,208 15,312 20,416 30,624 61,248

Collatz Trajectory (60 steps to reach 1)

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

61,248 30,624 15,312 7,656 3,828 1,914 957 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2

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