359,055

3² × 5 × 79 × 101

359,055 factors as 3^2 × 5 × 79 × 101. Its 24 positive divisors give a proper-divisor sum of 277,425, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 79 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 636,480

Proper Divisor Sum 277,425

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #359041 ← → #359063

Radix Representation

Decimal	359055
Binary	1010111101010001111 (19 bits)
Octal	0o1275217
Hexadecimal	0x57A8F

Divisor Catalog (24)

1 3 5 9 15 45 79 101 237 303 395 505 711 909 1,185 1,515 3,555 4,545 7,979 23,937 39,895 71,811 119,685 359,055

Collatz Trajectory (122 steps to reach 1)

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

359,055 1,077,166 538,583 1,615,750 807,875 2,423,626 1,211,813 3,635,440 1,817,720 908,860 454,430 227,215 681,646 340,823 1,022,470 511,235 1,533,706 766,853 2,300,560 1,150,280 575,140 287,570 143,785 431,356 215,678 107,839 323,518 161,759 485,278 242,639 727,918 363,959 1,091,878 545,939 1,637,818 818,909 2,456,728 1,228,364 614,182 307,091 921,274 460,637 1,381,912 690,956 345,478 172,739 518,218 259,109 777,328 388,664 194,332 97,166 48,583 145,750 72,875 218,626 109,313 327,940 163,970 81,985

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