7,426,840

2³ × 5 × 83 × 2237

Starting at 7,426,840, the Collatz iteration reaches 1 after 173 steps. The first transition is 3713420; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 83 × 2237

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,919,280

Proper Divisor Sum 9,492,440

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7426823 ← → #7426849

Radix Representation

Decimal	7426840
Binary	11100010101001100011000 (23 bits)
Octal	0o34251430
Hexadecimal	0x715318

Divisor Catalog (32)

1 2 4 5 8 10 20 40 83 166 332 415 664 830 1,660 2,237 3,320 4,474 8,948 11,185 17,896 22,370 44,740 89,480 185,671 371,342 742,684 928,355 1,485,368 1,856,710 3,713,420 7,426,840

Collatz Trajectory (173 steps to reach 1)

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

7,426,840 3,713,420 1,856,710 928,355 2,785,066 1,392,533 4,177,600 2,088,800 1,044,400 522,200 261,100 130,550 65,275 195,826 97,913 293,740 146,870 73,435 220,306 110,153 330,460 165,230 82,615 247,846 123,923 371,770 185,885 557,656 278,828 139,414 69,707 209,122 104,561 313,684 156,842 78,421 235,264 117,632 58,816 29,408 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220

← Previous Integer #7,426,839 Browse Full Index Next Integer #7,426,841 →