61,338,879

3² × 7 × 631 × 1543

61,338,879 factors as 3^2 × 7 × 631 × 1543. Its 24 positive divisors give a proper-divisor sum of 40,145,153, so this integer is deficient. The Collatz stopping time is 313 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 631 × 1543

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 101,484,032

Proper Divisor Sum 40,145,153

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #61338847 ← → #61338899

Radix Representation

Decimal	61338879
Binary	11101001111111010011111111 (26 bits)
Octal	0o351772377
Hexadecimal	0x3A7F4FF

Divisor Catalog (24)

Collatz Trajectory (313 steps to reach 1)

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

61,338,879 184,016,638 92,008,319 276,024,958 138,012,479 414,037,438 207,018,719 621,056,158 310,528,079 931,584,238 465,792,119 1,397,376,358 698,688,179 2,096,064,538 1,048,032,269 3,144,096,808 1,572,048,404 786,024,202 393,012,101 1,179,036,304 589,518,152 294,759,076 147,379,538 73,689,769 221,069,308 110,534,654 55,267,327 165,801,982 82,900,991 248,702,974 124,351,487 373,054,462 186,527,231 559,581,694 279,790,847 839,372,542 419,686,271 1,259,058,814 629,529,407 1,888,588,222 944,294,111 2,832,882,334 1,416,441,167 4,249,323,502 2,124,661,751 6,373,985,254 3,186,992,627 9,560,977,882 4,780,488,941 14,341,466,824 7,170,733,412 3,585,366,706 1,792,683,353 5,378,050,060 2,689,025,030 1,344,512,515 4,033,537,546 2,016,768,773 6,050,306,320 3,025,153,160

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