1,583,520

2⁵ × 3 × 5 × 3299

1,583,520 is even and not a perfect square. Its factorization is 2^5 × 3 × 5 × 3299 and its 48 divisors sum to 4,989,600.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 3299

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,989,600

Proper Divisor Sum 3,406,080

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1583509 ← → #1583521

Radix Representation

Decimal	1583520
Binary	110000010100110100000 (21 bits)
Octal	0o6024640
Hexadecimal	0x1829A0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3,299 6,598 9,897 13,196 16,495 19,794 26,392 32,990 39,588 49,485 52,784 65,980 79,176 98,970 105,568 131,960 158,352 197,940 263,920 316,704 395,880 527,840 791,760 1,583,520

Collatz Trajectory (101 steps to reach 1)

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

1,583,520 791,760 395,880 197,940 98,970 49,485 148,456 74,228 37,114 18,557 55,672 27,836 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676

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