48,076

2² × 7 × 17 × 101

48,076 has digital root 7. The neighboring primes are 48073 and 48079; its proper-divisor sum differs from the starting integer by 6,664.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 102,816

Proper Divisor Sum 54,740

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #48073 ← → #48079

Radix Representation

Decimal	48076
Binary	1011101111001100 (16 bits)
Octal	0o135714
Hexadecimal	0xBBCC

Divisor Catalog (24)

1 2 4 7 14 17 28 34 68 101 119 202 238 404 476 707 1,414 1,717 2,828 3,434 6,868 12,019 24,038 48,076

Collatz Trajectory (96 steps to reach 1)

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

48,076 24,038 12,019 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834

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