2,624,440

2³ × 5 × 7² × 13 × 103

2,624,440 has digital root 4. The neighboring primes are 2624437 and 2624467; its proper-divisor sum differs from the starting integer by 2,220,400.

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 13 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 7,469,280

Proper Divisor Sum 4,844,840

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2624437 ← → #2624467

Radix Representation

Decimal	2624440
Binary	1010000000101110111000 (22 bits)
Octal	0o12005670
Hexadecimal	0x280BB8

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 103 104 130 140 182 196 206 245 260 280 364 392 412 455 490 515 520 637 721 728 824 910 980 1,030 1,274 1,339 1,442 1,820 1,960 2,060 2,548 2,678 2,884 3,185 3,605 3,640 4,120 5,047 5,096

Collatz Trajectory (68 steps to reach 1)

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

2,624,440 1,312,220 656,110 328,055 984,166 492,083 1,476,250 738,125 2,214,376 1,107,188 553,594 276,797 830,392 415,196 207,598 103,799 311,398 155,699 467,098 233,549 700,648 350,324 175,162 87,581 262,744 131,372 65,686 32,843 98,530 49,265 147,796 73,898 36,949 110,848 55,424 27,712 13,856 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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