48,332,821

23 × 29 × 233 × 311

48,332,821 factors as 23 × 29 × 233 × 311. Its 16 positive divisors give a proper-divisor sum of 4,232,939, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 23 × 29 × 233 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 52,565,760

Proper Divisor Sum 4,232,939

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #48332803 ← → #48332831

Radix Representation

Decimal	48332821
Binary	10111000011000000000010101 (26 bits)
Octal	0o270300025
Hexadecimal	0x2E18015

Divisor Catalog (16)

1 23 29 233 311 667 5,359 6,757 7,153 9,019 72,463 155,411 207,437 1,666,649 2,101,427 48,332,821

Collatz Trajectory (186 steps to reach 1)

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

48,332,821 144,998,464 72,499,232 36,249,616 18,124,808 9,062,404 4,531,202 2,265,601 6,796,804 3,398,402 1,699,201 5,097,604 2,548,802 1,274,401 3,823,204 1,911,602 955,801 2,867,404 1,433,702 716,851 2,150,554 1,075,277 3,225,832 1,612,916 806,458 403,229 1,209,688 604,844 302,422 151,211 453,634 226,817 680,452 340,226 170,113 510,340 255,170 127,585 382,756 191,378 95,689 287,068 143,534 71,767 215,302 107,651 322,954 161,477 484,432 242,216 121,108 60,554 30,277 90,832 45,416 22,708 11,354 5,677 17,032 8,516

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