144,416

2⁵ × 4513

144,416 factors as 2^5 × 4513. Its 12 positive divisors give a proper-divisor sum of 139,966, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^5 × 4513

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 284,382

Proper Divisor Sum 139,966

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #144413 ← → #144427

Radix Representation

Decimal	144416
Binary	100011010000100000 (18 bits)
Octal	0o432040
Hexadecimal	0x23420

Divisor Catalog (12)

1 2 4 8 16 32 4,513 9,026 18,052 36,104 72,208 144,416

Collatz Trajectory (188 steps to reach 1)

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

144,416 72,208 36,104 18,052 9,026 4,513 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919

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