4,175,976

2³ × 3 × 7² × 53 × 67

Starting at 4,175,976, the Collatz iteration reaches 1 after 167 steps. The first transition is 2087988; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 53 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 12,558,240

Proper Divisor Sum 8,382,264

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4175957 ← → #4175981

Radix Representation

Decimal	4175976
Binary	1111111011100001101000 (22 bits)
Octal	0o17734150
Hexadecimal	0x3FB868

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 67 84 98 106 134 147 159 168 196 201 212 268 294 318 371 392 402 424 469 536 588 636 742 804 938 1,113 1,176 1,272 1,407 1,484 1,608 1,876 2,226 2,597 2,814 2,968 3,283 3,551 3,752 4,452 5,194 5,628 6,566 7,102

Collatz Trajectory (167 steps to reach 1)

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

4,175,976 2,087,988 1,043,994 521,997 1,565,992 782,996 391,498 195,749 587,248 293,624 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 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 73 220 110 55 166 83 250 125

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