901,153

11 × 17 × 61 × 79

Starting at 901,153, the Collatz iteration reaches 1 after 113 steps. The first transition is 2703460; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 17 × 61 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,071,360

Proper Divisor Sum 170,207

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #901141 ← → #901169

Radix Representation

Decimal	901153
Binary	11011100000000100001 (20 bits)
Octal	0o3340041
Hexadecimal	0xDC021

Divisor Catalog (16)

1 11 17 61 79 187 671 869 1,037 1,343 4,819 11,407 14,773 53,009 81,923 901,153

Collatz Trajectory (113 steps to reach 1)

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

901,153 2,703,460 1,351,730 675,865 2,027,596 1,013,798 506,899 1,520,698 760,349 2,281,048 1,140,524 570,262 285,131 855,394 427,697 1,283,092 641,546 320,773 962,320 481,160 240,580 120,290 60,145 180,436 90,218 45,109 135,328 67,664 33,832 16,916 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958

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