7,011,838

2 × 43 × 81533

Starting at 7,011,838, the Collatz iteration reaches 1 after 178 steps. The first transition is 3505919; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 81533

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,762,488

Proper Divisor Sum 3,750,650

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7011827 ← → #7011853

Radix Representation

Decimal	7011838
Binary	11010101111110111111110 (23 bits)
Octal	0o32576776
Hexadecimal	0x6AFDFE

Divisor Catalog (8)

1 2 43 86 81,533 163,066 3,505,919 7,011,838

Collatz Trajectory (178 steps to reach 1)

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

7,011,838 3,505,919 10,517,758 5,258,879 15,776,638 7,888,319 23,664,958 11,832,479 35,497,438 17,748,719 53,246,158 26,623,079 79,869,238 39,934,619 119,803,858 59,901,929 179,705,788 89,852,894 44,926,447 134,779,342 67,389,671 202,169,014 101,084,507 303,253,522 151,626,761 454,880,284 227,440,142 113,720,071 341,160,214 170,580,107 511,740,322 255,870,161 767,610,484 383,805,242 191,902,621 575,707,864 287,853,932 143,926,966 71,963,483 215,890,450 107,945,225 323,835,676 161,917,838 80,958,919 242,876,758 121,438,379 364,315,138 182,157,569 546,472,708 273,236,354 136,618,177 409,854,532 204,927,266 102,463,633 307,390,900 153,695,450 76,847,725 230,543,176 115,271,588 57,635,794

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