λ
Harmonic Matrix

154,706

2 × 103 × 751
Deficient Even Composite

154,706 has digital root 5. The neighboring primes are 154699 and 154723; its proper-divisor sum differs from the starting integer by -74,788.

Prime Factor Structure

Factorization String 2 × 103 × 751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 234,624
Proper Divisor Sum 79,918
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #154699 ← → #154723

Radix Representation

Decimal 154706
Binary 100101110001010010 (18 bits)
Octal 0o456122
Hexadecimal 0x25C52

Divisor Catalog (8)

1 2 103 206 751 1,502 77,353 154,706

Collatz Trajectory (139 steps to reach 1)

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

154,706 77,353 232,060 116,030 58,015 174,046 87,023 261,070 130,535 391,606 195,803 587,410 293,705 881,116 440,558 220,279 660,838 330,419 991,258 495,629 1,486,888 743,444 371,722 185,861 557,584 278,792 139,396 69,698 34,849 104,548 52,274 26,137 78,412 39,206 19,603 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890

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