λ
Sequence Observatory

4,075,324

22 × 11 × 23 × 4027
Deficient Even Composite

Starting at 4,075,324, the Collatz iteration reaches 1 after 110 steps. The first transition is 2037662; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 4027
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,120,448
Proper Divisor Sum 4,045,124
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4075319 ← → #4075327

Radix Representation

Decimal 4075324
Binary 1111100010111100111100 (22 bits)
Octal 0o17427474
Hexadecimal 0x3E2F3C

Divisor Catalog (24)

1 2 4 11 22 23 44 46 92 253 506 1,012 4,027 8,054 16,108 44,297 88,594 92,621 177,188 185,242 370,484 1,018,831 2,037,662 4,075,324

Collatz Trajectory (110 steps to reach 1)

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

4,075,324 2,037,662 1,018,831 3,056,494 1,528,247 4,584,742 2,292,371 6,877,114 3,438,557 10,315,672 5,157,836 2,578,918 1,289,459 3,868,378 1,934,189 5,802,568 2,901,284 1,450,642 725,321 2,175,964 1,087,982 543,991 1,631,974 815,987 2,447,962 1,223,981 3,671,944 1,835,972 917,986 458,993 1,376,980 688,490 344,245 1,032,736 516,368 258,184 129,092 64,546 32,273 96,820 48,410 24,205 72,616 36,308 18,154 9,077 27,232 13,616 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719

More profiles

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