λ
Prime Ledger

1,548,128

25 × 101 × 479
Deficient Even Composite

1,548,128 has the prime decomposition 2^5 × 101 × 479. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 101 × 479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,084,480
Proper Divisor Sum 1,536,352
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1548121 ← → #1548137

Radix Representation

Decimal 1548128
Binary 101111001111101100000 (21 bits)
Octal 0o5717540
Hexadecimal 0x179F60

Divisor Catalog (24)

1 2 4 8 16 32 101 202 404 479 808 958 1,616 1,916 3,232 3,832 7,664 15,328 48,379 96,758 193,516 387,032 774,064 1,548,128

Collatz Trajectory (194 steps to reach 1)

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

1,548,128 774,064 387,032 193,516 96,758 48,379 145,138 72,569 217,708 108,854 54,427 163,282 81,641 244,924 122,462 61,231 183,694 91,847 275,542 137,771 413,314 206,657 619,972 309,986 154,993 464,980 232,490 116,245 348,736 174,368 87,184 43,592 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827

More profiles

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