λ
Harmonic Matrix

1,053,293

1053293
Deficient Odd Prime

1,053,293 has digital root 5. The neighboring primes are 1053271 and 1053301; its proper-divisor sum differs from the starting integer by -1,053,292.

Prime Factor Structure

Factorization String 1053293
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,053,294
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1053271 ← → #1053301

Radix Representation

Decimal 1053293
Binary 100000001001001101101 (21 bits)
Octal 0o4011155
Hexadecimal 0x10126D

Divisor Catalog (2)

Collatz Trajectory (165 steps to reach 1)

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

1,053,293 3,159,880 1,579,940 789,970 394,985 1,184,956 592,478 296,239 888,718 444,359 1,333,078 666,539 1,999,618 999,809 2,999,428 1,499,714 749,857 2,249,572 1,124,786 562,393 1,687,180 843,590 421,795 1,265,386 632,693 1,898,080 949,040 474,520 237,260 118,630 59,315 177,946 88,973 266,920 133,460 66,730 33,365 100,096 50,048 25,024 12,512 6,256 3,128 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

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