1,057,052

2² × 264263

1,057,052 has digital root 2. The neighboring primes are 1057051 and 1057087; its proper-divisor sum differs from the starting integer by -264,256.

Prime Factor Structure

Factorization String 2^2 × 264263

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,849,848

Proper Divisor Sum 792,796

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1057051 ← → #1057087

Radix Representation

Decimal	1057052
Binary	100000010000100011100 (21 bits)
Octal	0o4020434
Hexadecimal	0x10211C

Divisor Catalog (6)

1 2 4 264,263 528,526 1,057,052

Collatz Trajectory (147 steps to reach 1)

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

1,057,052 528,526 264,263 792,790 396,395 1,189,186 594,593 1,783,780 891,890 445,945 1,337,836 668,918 334,459 1,003,378 501,689 1,505,068 752,534 376,267 1,128,802 564,401 1,693,204 846,602 423,301 1,269,904 634,952 317,476 158,738 79,369 238,108 119,054 59,527 178,582 89,291 267,874 133,937 401,812 200,906 100,453 301,360 150,680 75,340 37,670 18,835 56,506 28,253 84,760 42,380 21,190 10,595 31,786 15,893 47,680 23,840 11,920 5,960 2,980 1,490 745 2,236 1,118

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