48,697,217

37 × 41 × 47 × 683

48,697,217 factors as 37 × 41 × 47 × 683. Its 16 positive divisors give a proper-divisor sum of 3,702,655, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 37 × 41 × 47 × 683

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 52,399,872

Proper Divisor Sum 3,702,655

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #48697213 ← → #48697219

Radix Representation

Decimal	48697217
Binary	10111001110000111110000001 (26 bits)
Octal	0o271607601
Hexadecimal	0x2E70F81

Divisor Catalog (16)

1 37 41 47 683 1,517 1,739 1,927 25,271 28,003 32,101 71,299 1,036,111 1,187,737 1,316,141 48,697,217

Collatz Trajectory (137 steps to reach 1)

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

48,697,217 146,091,652 73,045,826 36,522,913 109,568,740 54,784,370 27,392,185 82,176,556 41,088,278 20,544,139 61,632,418 30,816,209 92,448,628 46,224,314 23,112,157 69,336,472 34,668,236 17,334,118 8,667,059 26,001,178 13,000,589 39,001,768 19,500,884 9,750,442 4,875,221 14,625,664 7,312,832 3,656,416 1,828,208 914,104 457,052 228,526 114,263 342,790 171,395 514,186 257,093 771,280 385,640 192,820 96,410 48,205 144,616 72,308 36,154 18,077 54,232 27,116 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581

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