48,106,929

3 × 13 × 373 × 3307

48,106,929 factors as 3 × 13 × 373 × 3307. Its 16 positive divisors give a proper-divisor sum of 21,175,823, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3 × 13 × 373 × 3307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 69,282,752

Proper Divisor Sum 21,175,823

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #48106921 ← → #48106931

Radix Representation

Decimal	48106929
Binary	10110111100000110110110001 (26 bits)
Octal	0o267406661
Hexadecimal	0x2DE0DB1

Divisor Catalog (16)

1 3 13 39 373 1,119 3,307 4,849 9,921 14,547 42,991 128,973 1,233,511 3,700,533 16,035,643 48,106,929

Collatz Trajectory (142 steps to reach 1)

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

48,106,929 144,320,788 72,160,394 36,080,197 108,240,592 54,120,296 27,060,148 13,530,074 6,765,037 20,295,112 10,147,556 5,073,778 2,536,889 7,610,668 3,805,334 1,902,667 5,708,002 2,854,001 8,562,004 4,281,002 2,140,501 6,421,504 3,210,752 1,605,376 802,688 401,344 200,672 100,336 50,168 25,084 12,542 6,271 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866

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