4,742,646

2 × 3 × 23 × 34367

4,742,646 has digital root 6. The neighboring primes are 4742641 and 4742651; its proper-divisor sum differs from the starting integer by 412,692.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 34367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,897,984

Proper Divisor Sum 5,155,338

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4742641 ← → #4742651

Radix Representation

Decimal	4742646
Binary	10010000101110111110110 (23 bits)
Octal	0o22056766
Hexadecimal	0x485DF6

Divisor Catalog (16)

1 2 3 6 23 46 69 138 34,367 68,734 103,101 206,202 790,441 1,580,882 2,371,323 4,742,646

Collatz Trajectory (149 steps to reach 1)

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

4,742,646 2,371,323 7,113,970 3,556,985 10,670,956 5,335,478 2,667,739 8,003,218 4,001,609 12,004,828 6,002,414 3,001,207 9,003,622 4,501,811 13,505,434 6,752,717 20,258,152 10,129,076 5,064,538 2,532,269 7,596,808 3,798,404 1,899,202 949,601 2,848,804 1,424,402 712,201 2,136,604 1,068,302 534,151 1,602,454 801,227 2,403,682 1,201,841 3,605,524 1,802,762 901,381 2,704,144 1,352,072 676,036 338,018 169,009 507,028 253,514 126,757 380,272 190,136 95,068 47,534 23,767 71,302 35,651 106,954 53,477 160,432 80,216 40,108 20,054 10,027 30,082

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