4,378,752

2⁷ × 3³ × 7 × 181

4,378,752 factors as 2^7 × 3^3 × 7 × 181. Its 128 positive divisors give a proper-divisor sum of 10,472,448, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^7 × 3^3 × 7 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 14,851,200

Proper Divisor Sum 10,472,448

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4378727 ← → #4378753

Radix Representation

Decimal	4378752
Binary	10000101101000010000000 (23 bits)
Octal	0o20550200
Hexadecimal	0x42D080

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 181 189 192 216 224 252 288 336 362 378 384 432 448 504 543 576 672 724 756 864 896 1,008 1,086 1,152 1,267 1,344 1,448

Collatz Trajectory (87 steps to reach 1)

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

4,378,752 2,189,376 1,094,688 547,344 273,672 136,836 68,418 34,209 102,628 51,314 25,657 76,972 38,486 19,243 57,730 28,865 86,596 43,298 21,649 64,948 32,474 16,237 48,712 24,356 12,178 6,089 18,268 9,134 4,567 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,378,751 Browse Full Index Next Integer #4,378,753 →