154,488

2³ × 3 × 41 × 157

154,488 factors as 2^3 × 3 × 41 × 157. Its 32 positive divisors give a proper-divisor sum of 243,672, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 398,160

Proper Divisor Sum 243,672

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #154487 ← → #154493

Radix Representation

Decimal	154488
Binary	100101101101111000 (18 bits)
Octal	0o455570
Hexadecimal	0x25B78

Divisor Catalog (32)

1 2 3 4 6 8 12 24 41 82 123 157 164 246 314 328 471 492 628 942 984 1,256 1,884 3,768 6,437 12,874 19,311 25,748 38,622 51,496 77,244 154,488

Collatz Trajectory (108 steps to reach 1)

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

154,488 77,244 38,622 19,311 57,934 28,967 86,902 43,451 130,354 65,177 195,532 97,766 48,883 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524 11,762 5,881

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