61,279

233 × 263

61,279 factors as 233 × 263. Its 4 positive divisors give a proper-divisor sum of 497, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 233 × 263

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 61,776

Proper Divisor Sum 497

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #61261 ← → #61283

Radix Representation

Decimal	61279
Binary	1110111101011111 (16 bits)
Octal	0o167537
Hexadecimal	0xEF5F

Divisor Catalog (4)

1 233 263 61,279

Collatz Trajectory (179 steps to reach 1)

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

61,279 183,838 91,919 275,758 137,879 413,638 206,819 620,458 310,229 930,688 465,344 232,672 116,336 58,168 29,084 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389

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