3,375,312

2⁴ × 3 × 19 × 3701

Starting at 3,375,312, the Collatz iteration reaches 1 after 146 steps. The first transition is 1687656; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 3701

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,180,960

Proper Divisor Sum 5,805,648

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3375289 ← → #3375329

Radix Representation

Decimal	3375312
Binary	1100111000000011010000 (22 bits)
Octal	0o14700320
Hexadecimal	0x3380D0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 3,701 7,402 11,103 14,804 22,206 29,608 44,412 59,216 70,319 88,824 140,638 177,648 210,957 281,276 421,914 562,552 843,828 1,125,104 1,687,656 3,375,312

Collatz Trajectory (146 steps to reach 1)

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

3,375,312 1,687,656 843,828 421,914 210,957 632,872 316,436 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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