6,425,742

2 × 3 × 31 × 179 × 193

6,425,742 has digital root 3. The neighboring primes are 6425737 and 6425761; its proper-divisor sum differs from the starting integer by 557,796.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 179 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,409,280

Proper Divisor Sum 6,983,538

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6425737 ← → #6425761

Radix Representation

Decimal	6425742
Binary	11000100000110010001110 (23 bits)
Octal	0o30406216
Hexadecimal	0x620C8E

Divisor Catalog (32)

1 2 3 6 31 62 93 179 186 193 358 386 537 579 1,074 1,158 5,549 5,983 11,098 11,966 16,647 17,949 33,294 34,547 35,898 69,094 103,641 207,282 1,070,957 2,141,914 3,212,871 6,425,742

Collatz Trajectory (147 steps to reach 1)

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

6,425,742 3,212,871 9,638,614 4,819,307 14,457,922 7,228,961 21,686,884 10,843,442 5,421,721 16,265,164 8,132,582 4,066,291 12,198,874 6,099,437 18,298,312 9,149,156 4,574,578 2,287,289 6,861,868 3,430,934 1,715,467 5,146,402 2,573,201 7,719,604 3,859,802 1,929,901 5,789,704 2,894,852 1,447,426 723,713 2,171,140 1,085,570 542,785 1,628,356 814,178 407,089 1,221,268 610,634 305,317 915,952 457,976 228,988 114,494 57,247 171,742 85,871 257,614 128,807 386,422 193,211 579,634 289,817 869,452 434,726 217,363 652,090 326,045 978,136 489,068 244,534

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