λ
Sequence Observatory

48,472

23 × 73 × 83
Deficient Even Composite

Starting at 48,472, the Collatz iteration reaches 1 after 145 steps. The first transition is 24236; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 73 × 83
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 93,240
Proper Divisor Sum 44,768
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #48463 ← → #48473

Radix Representation

Decimal 48472
Binary 1011110101011000 (16 bits)
Octal 0o136530
Hexadecimal 0xBD58

Divisor Catalog (16)

1 2 4 8 73 83 146 166 292 332 584 664 6,059 12,118 24,236 48,472

Collatz Trajectory (145 steps to reach 1)

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

48,472 24,236 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310

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