2,627,249

127 × 137 × 151

Starting at 2,627,249, the Collatz iteration reaches 1 after 218 steps. The first transition is 7881748; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 127 × 137 × 151

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,684,928

Proper Divisor Sum 57,679

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2627243 ← → #2627269

Radix Representation

Decimal	2627249
Binary	1010000001011010110001 (22 bits)
Octal	0o12013261
Hexadecimal	0x2816B1

Divisor Catalog (8)

1 127 137 151 17,399 19,177 20,687 2,627,249

Collatz Trajectory (218 steps to reach 1)

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

2,627,249 7,881,748 3,940,874 1,970,437 5,911,312 2,955,656 1,477,828 738,914 369,457 1,108,372 554,186 277,093 831,280 415,640 207,820 103,910 51,955 155,866 77,933 233,800 116,900 58,450 29,225 87,676 43,838 21,919 65,758 32,879 98,638 49,319 147,958 73,979 221,938 110,969 332,908 166,454 83,227 249,682 124,841 374,524 187,262 93,631 280,894 140,447 421,342 210,671 632,014 316,007 948,022 474,011 1,422,034 711,017 2,133,052 1,066,526 533,263 1,599,790 799,895 2,399,686 1,199,843 3,599,530

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