2,615,040

2⁸ × 3² × 5 × 227

2,615,040 has digital root 9. The neighboring primes are 2614999 and 2615047; its proper-divisor sum differs from the starting integer by 3,857,544.

Prime Factor Structure

Factorization String 2^8 × 3^2 × 5 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 9,087,624

Proper Divisor Sum 6,472,584

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2614999 ← → #2615047

Radix Representation

Decimal	2615040
Binary	1001111110011100000000 (22 bits)
Octal	0o11763400
Hexadecimal	0x27E700

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 227 240 256 288 320 360 384 454 480 576 640 681 720 768 908 960 1,135 1,152 1,280 1,362 1,440 1,816 1,920 2,043 2,270 2,304 2,724

Collatz Trajectory (156 steps to reach 1)

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

2,615,040 1,307,520 653,760 326,880 163,440 81,720 40,860 20,430 10,215 30,646 15,323 45,970 22,985 68,956 34,478 17,239 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767

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