1,097,632

2⁵ × 34301

1,097,632 has digital root 1. The neighboring primes are 1097627 and 1097633; its proper-divisor sum differs from the starting integer by -34,238.

Prime Factor Structure

Factorization String 2^5 × 34301

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,161,026

Proper Divisor Sum 1,063,394

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1097627 ← → #1097633

Radix Representation

Decimal	1097632
Binary	100001011111110100000 (21 bits)
Octal	0o4137640
Hexadecimal	0x10BFA0

Divisor Catalog (12)

1 2 4 8 16 32 34,301 68,602 137,204 274,408 548,816 1,097,632

Collatz Trajectory (134 steps to reach 1)

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

1,097,632 548,816 274,408 137,204 68,602 34,301 102,904 51,452 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370 97,685 293,056 146,528 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

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