6,792,112

2⁴ × 17 × 24971

6,792,112 has digital root 1. The neighboring primes are 6792089 and 6792143; its proper-divisor sum differs from the starting integer by 350,152.

Prime Factor Structure

Factorization String 2^4 × 17 × 24971

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,934,376

Proper Divisor Sum 7,142,264

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6792089 ← → #6792143

Radix Representation

Decimal	6792112
Binary	11001111010001110110000 (23 bits)
Octal	0o31721660
Hexadecimal	0x67A3B0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 24,971 49,942 99,884 199,768 399,536 424,507 849,014 1,698,028 3,396,056 6,792,112

Collatz Trajectory (85 steps to reach 1)

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

6,792,112 3,396,056 1,698,028 849,014 424,507 1,273,522 636,761 1,910,284 955,142 477,571 1,432,714 716,357 2,149,072 1,074,536 537,268 268,634 134,317 402,952 201,476 100,738 50,369 151,108 75,554 37,777 113,332 56,666 28,333 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200

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