4,140,759

3 × 7 × 23 × 8573

Starting at 4,140,759, the Collatz iteration reaches 1 after 154 steps. The first transition is 12422278; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 8573

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,584,832

Proper Divisor Sum 2,444,073

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4140757 ← → #4140761

Radix Representation

Decimal	4140759
Binary	1111110010111011010111 (22 bits)
Octal	0o17627327
Hexadecimal	0x3F2ED7

Divisor Catalog (16)

1 3 7 21 23 69 161 483 8,573 25,719 60,011 180,033 197,179 591,537 1,380,253 4,140,759

Collatz Trajectory (154 steps to reach 1)

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

4,140,759 12,422,278 6,211,139 18,633,418 9,316,709 27,950,128 13,975,064 6,987,532 3,493,766 1,746,883 5,240,650 2,620,325 7,860,976 3,930,488 1,965,244 982,622 491,311 1,473,934 736,967 2,210,902 1,105,451 3,316,354 1,658,177 4,974,532 2,487,266 1,243,633 3,730,900 1,865,450 932,725 2,798,176 1,399,088 699,544 349,772 174,886 87,443 262,330 131,165 393,496 196,748 98,374 49,187 147,562 73,781 221,344 110,672 55,336 27,668 13,834 6,917 20,752 10,376 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730

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