772,013

11 × 70183

For 772,013, the 4 positive divisors have a total of 842,208. Removing 772,013 leaves 70,195, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 70183

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 842,208

Proper Divisor Sum 70,195

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #772003 ← → #772019

Radix Representation

Decimal	772013
Binary	10111100011110101101 (20 bits)
Octal	0o2743655
Hexadecimal	0xBC7AD

Divisor Catalog (4)

1 11 70,183 772,013

Collatz Trajectory (224 steps to reach 1)

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

772,013 2,316,040 1,158,020 579,010 289,505 868,516 434,258 217,129 651,388 325,694 162,847 488,542 244,271 732,814 366,407 1,099,222 549,611 1,648,834 824,417 2,473,252 1,236,626 618,313 1,854,940 927,470 463,735 1,391,206 695,603 2,086,810 1,043,405 3,130,216 1,565,108 782,554 391,277 1,173,832 586,916 293,458 146,729 440,188 220,094 110,047 330,142 165,071 495,214 247,607 742,822 371,411 1,114,234 557,117 1,671,352 835,676 417,838 208,919 626,758 313,379 940,138 470,069 1,410,208 705,104 352,552 176,276

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