1,596,384

2⁵ × 3² × 23 × 241

1,596,384 is even and not a perfect square. Its factorization is 2^5 × 3^2 × 23 × 241 and its 72 divisors sum to 4,756,752.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 23 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 4,756,752

Proper Divisor Sum 3,160,368

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1596383 ← → #1596389

Radix Representation

Decimal	1596384
Binary	110000101101111100000 (21 bits)
Octal	0o6055740
Hexadecimal	0x185BE0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 241 276 288 368 414 482 552 723 736 828 964 1,104 1,446 1,656 1,928 2,169 2,208 2,892 3,312 3,856 4,338 5,543 5,784 6,624 7,712 8,676 11,086 11,568 16,629 17,352 22,172 23,136 33,258 34,704 44,344 49,887

Collatz Trajectory (194 steps to reach 1)

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

1,596,384 798,192 399,096 199,548 99,774 49,887 149,662 74,831 224,494 112,247 336,742 168,371 505,114 252,557 757,672 378,836 189,418 94,709 284,128 142,064 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691

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