2,620,512

2⁵ × 3⁵ × 337

2,620,512 has digital root 9. The neighboring primes are 2620511 and 2620529; its proper-divisor sum differs from the starting integer by 2,509,992.

Prime Factor Structure

Factorization String 2^5 × 3^5 × 337

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 7,751,016

Proper Divisor Sum 5,130,504

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2620511 ← → #2620529

Radix Representation

Decimal	2620512
Binary	1001111111110001100000 (22 bits)
Octal	0o11776140
Hexadecimal	0x27FC60

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 337 432 486 648 674 864 972 1,011 1,296 1,348 1,944 2,022 2,592 2,696 3,033 3,888 4,044 5,392 6,066 7,776 8,088 9,099 10,784 12,132 16,176 18,198 24,264 27,297 32,352 36,396 48,528 54,594 72,792 81,891

Collatz Trajectory (143 steps to reach 1)

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

2,620,512 1,310,256 655,128 327,564 163,782 81,891 245,674 122,837 368,512 184,256 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466

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