1,615,680

2⁶ × 3³ × 5 × 11 × 17

1,615,680 has digital root 9. The neighboring primes are 1615673 and 1615693; its proper-divisor sum differs from the starting integer by 3,352,320.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5 × 11 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 224

Divisor Sum (σ) 6,583,680

Proper Divisor Sum 4,968,000

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1615673 ← → #1615693

Radix Representation

Decimal	1615680
Binary	110001010011101000000 (21 bits)
Octal	0o6123500
Hexadecimal	0x18A740

Divisor Catalog (60 of 224)

1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 27 30 32 33 34 36 40 44 45 48 51 54 55 60 64 66 68 72 80 85 88 90 96 99 102 108 110 120 132 135 136 144 153 160 165 170 176 180 187 192 198 204

Collatz Trajectory (114 steps to reach 1)

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

1,615,680 807,840 403,920 201,960 100,980 50,490 25,245 75,736 37,868 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504

← Previous Integer #1,615,679 Browse Full Index Next Integer #1,615,681 →