5,378,256

2⁴ × 3² × 13³ × 17

5,378,256 factors as 2^4 × 3^2 × 13^3 × 17. Its 120 positive divisors give a proper-divisor sum of 11,886,264, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13^3 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 17,264,520

Proper Divisor Sum 11,886,264

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5378237 ← → #5378267

Radix Representation

Decimal	5378256
Binary	10100100001000011010000 (23 bits)
Octal	0o24410320
Hexadecimal	0x5210D0

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 169 204 208 221 234 272 306 312 338 408 442 468 507 612 624 663 676 816 884 936 1,014 1,224 1,326 1,352 1,521 1,768 1,872 1,989 2,028 2,197

Collatz Trajectory (95 steps to reach 1)

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

5,378,256 2,689,128 1,344,564 672,282 336,141 1,008,424 504,212 252,106 126,053 378,160 189,080 94,540 47,270 23,635 70,906 35,453 106,360 53,180 26,590 13,295 39,886 19,943 59,830 29,915 89,746 44,873 134,620 67,310 33,655 100,966 50,483 151,450 75,725 227,176 113,588 56,794 28,397 85,192 42,596 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158

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