145,377

3² × 29 × 557

145,377 factors as 3^2 × 29 × 557. Its 12 positive divisors give a proper-divisor sum of 72,243, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 217,620

Proper Divisor Sum 72,243

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #145361 ← → #145381

Radix Representation

Decimal	145377
Binary	100011011111100001 (18 bits)
Octal	0o433741
Hexadecimal	0x237E1

Divisor Catalog (12)

1 3 9 29 87 261 557 1,671 5,013 16,153 48,459 145,377

Collatz Trajectory (100 steps to reach 1)

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

145,377 436,132 218,066 109,033 327,100 163,550 81,775 245,326 122,663 367,990 183,995 551,986 275,993 827,980 413,990 206,995 620,986 310,493 931,480 465,740 232,870 116,435 349,306 174,653 523,960 261,980 130,990 65,495 196,486 98,243 294,730 147,365 442,096 221,048 110,524 55,262 27,631 82,894 41,447 124,342 62,171 186,514 93,257 279,772 139,886 69,943 209,830 104,915 314,746 157,373 472,120 236,060 118,030 59,015 177,046 88,523 265,570 132,785 398,356 199,178

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