λ
Sequence Observatory

4,368,632

23 × 19 × 41 × 701
Abundant Even Composite

Starting at 4,368,632, the Collatz iteration reaches 1 after 92 steps. The first transition is 2184316; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 41 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,845,200
Proper Divisor Sum 4,476,568
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4368629 ← → #4368641

Radix Representation

Decimal 4368632
Binary 10000101010100011111000 (23 bits)
Octal 0o20524370
Hexadecimal 0x42A8F8

Divisor Catalog (32)

1 2 4 8 19 38 41 76 82 152 164 328 701 779 1,402 1,558 2,804 3,116 5,608 6,232 13,319 26,638 28,741 53,276 57,482 106,552 114,964 229,928 546,079 1,092,158 2,184,316 4,368,632

Collatz Trajectory (92 steps to reach 1)

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

4,368,632 2,184,316 1,092,158 546,079 1,638,238 819,119 2,457,358 1,228,679 3,686,038 1,843,019 5,529,058 2,764,529 8,293,588 4,146,794 2,073,397 6,220,192 3,110,096 1,555,048 777,524 388,762 194,381 583,144 291,572 145,786 72,893 218,680 109,340 54,670 27,335 82,006 41,003 123,010 61,505 184,516 92,258 46,129 138,388 69,194 34,597 103,792 51,896 25,948 12,974 6,487 19,462 9,731 29,194 14,597 43,792 21,896 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770

More profiles

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