λ
Sequence Observatory

4,613,264

24 × 373 × 773
Deficient Even Composite

Starting at 4,613,264, the Collatz iteration reaches 1 after 180 steps. The first transition is 2306632; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 373 × 773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,973,756
Proper Divisor Sum 4,360,492
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4613263 ← → #4613293

Radix Representation

Decimal 4613264
Binary 10001100110010010010000 (23 bits)
Octal 0o21462220
Hexadecimal 0x466490

Divisor Catalog (20)

1 2 4 8 16 373 746 773 1,492 1,546 2,984 3,092 5,968 6,184 12,368 288,329 576,658 1,153,316 2,306,632 4,613,264

Collatz Trajectory (180 steps to reach 1)

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

4,613,264 2,306,632 1,153,316 576,658 288,329 864,988 432,494 216,247 648,742 324,371 973,114 486,557 1,459,672 729,836 364,918 182,459 547,378 273,689 821,068 410,534 205,267 615,802 307,901 923,704 461,852 230,926 115,463 346,390 173,195 519,586 259,793 779,380 389,690 194,845 584,536 292,268 146,134 73,067 219,202 109,601 328,804 164,402 82,201 246,604 123,302 61,651 184,954 92,477 277,432 138,716 69,358 34,679 104,038 52,019 156,058 78,029 234,088 117,044 58,522 29,261

More profiles

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