3,442,600

2³ × 5² × 7 × 2459

3,442,600 has digital root 1. The neighboring primes are 3442597 and 3442631; its proper-divisor sum differs from the starting integer by 2,266,000.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 2459

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,151,200

Proper Divisor Sum 5,708,600

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3442597 ← → #3442631

Radix Representation

Decimal	3442600
Binary	1101001000011110101000 (22 bits)
Octal	0o15103650
Hexadecimal	0x3487A8

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1,400 2,459 4,918 9,836 12,295 17,213 19,672 24,590 34,426 49,180 61,475 68,852 86,065 98,360 122,950 137,704 172,130 245,900 344,260 430,325 491,800 688,520 860,650 1,721,300 3,442,600

Collatz Trajectory (221 steps to reach 1)

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

3,442,600 1,721,300 860,650 430,325 1,290,976 645,488 322,744 161,372 80,686 40,343 121,030 60,515 181,546 90,773 272,320 136,160 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056

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