3,420,774

2 × 3² × 7 × 17 × 1597

3,420,774 has digital root 9. The neighboring primes are 3420773 and 3420787; its proper-divisor sum differs from the starting integer by 2,132,820.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 1597

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,974,368

Proper Divisor Sum 5,553,594

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3420773 ← → #3420787

Radix Representation

Decimal	3420774
Binary	1101000011001001100110 (22 bits)
Octal	0o15031146
Hexadecimal	0x343266

Divisor Catalog (48)

1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1,071 1,597 2,142 3,194 4,791 9,582 11,179 14,373 22,358 27,149 28,746 33,537 54,298 67,074 81,447 100,611 162,894 190,043 201,222 244,341 380,086 488,682 570,129 1,140,258 1,710,387 3,420,774

Collatz Trajectory (221 steps to reach 1)

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

3,420,774 1,710,387 5,131,162 2,565,581 7,696,744 3,848,372 1,924,186 962,093 2,886,280 1,443,140 721,570 360,785 1,082,356 541,178 270,589 811,768 405,884 202,942 101,471 304,414 152,207 456,622 228,311 684,934 342,467 1,027,402 513,701 1,541,104 770,552 385,276 192,638 96,319 288,958 144,479 433,438 216,719 650,158 325,079 975,238 487,619 1,462,858 731,429 2,194,288 1,097,144 548,572 274,286 137,143 411,430 205,715 617,146 308,573 925,720 462,860 231,430 115,715 347,146 173,573 520,720 260,360 130,180

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