88,391

157 × 563

88,391 has digital root 2. The neighboring primes are 88379 and 88397; its proper-divisor sum differs from the starting integer by -87,670.

Prime Factor Structure

Factorization String 157 × 563

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 89,112

Proper Divisor Sum 721

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #88379 ← → #88397

Radix Representation

Decimal	88391
Binary	10101100101000111 (17 bits)
Octal	0o254507
Hexadecimal	0x15947

Divisor Catalog (4)

1 157 563 88,391

Collatz Trajectory (107 steps to reach 1)

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

88,391 265,174 132,587 397,762 198,881 596,644 298,322 149,161 447,484 223,742 111,871 335,614 167,807 503,422 251,711 755,134 377,567 1,132,702 566,351 1,699,054 849,527 2,548,582 1,274,291 3,822,874 1,911,437 5,734,312 2,867,156 1,433,578 716,789 2,150,368 1,075,184 537,592 268,796 134,398 67,199 201,598 100,799 302,398 151,199 453,598 226,799 680,398 340,199 1,020,598 510,299 1,530,898 765,449 2,296,348 1,148,174 574,087 1,722,262 861,131 2,583,394 1,291,697 3,875,092 1,937,546 968,773 2,906,320 1,453,160 726,580

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