4,289,976

2³ × 3³ × 19861

Starting at 4,289,976, the Collatz iteration reaches 1 after 74 steps. The first transition is 2144988; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 19861

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,917,200

Proper Divisor Sum 7,627,224

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #4289969 ← → #4289977

Radix Representation

Decimal	4289976
Binary	10000010111010110111000 (23 bits)
Octal	0o20272670
Hexadecimal	0x4175B8

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 19,861 39,722 59,583 79,444 119,166 158,888 178,749 238,332 357,498 476,664 536,247 714,996 1,072,494 1,429,992 2,144,988 4,289,976

Collatz Trajectory (74 steps to reach 1)

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

4,289,976 2,144,988 1,072,494 536,247 1,608,742 804,371 2,413,114 1,206,557 3,619,672 1,809,836 904,918 452,459 1,357,378 678,689 2,036,068 1,018,034 509,017 1,527,052 763,526 381,763 1,145,290 572,645 1,717,936 858,968 429,484 214,742 107,371 322,114 161,057 483,172 241,586 120,793 362,380 181,190 90,595 271,786 135,893 407,680 203,840 101,920 50,960 25,480 12,740 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22

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