λ
Ratio Atlas

61,329,532

22 × 11 × 31 × 44963
Deficient Even Composite

61,329,532 factors as 2^2 × 11 × 31 × 44963. Its 24 positive divisors give a proper-divisor sum of 59,533,700, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 31 × 44963
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 120,863,232
Proper Divisor Sum 59,533,700
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #61329529 ← → #61329539

Radix Representation

Decimal 61329532
Binary 11101001111101000001111100 (26 bits)
Octal 0o351750174
Hexadecimal 0x3A7D07C

Divisor Catalog (24)

Collatz Trajectory (251 steps to reach 1)

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

61,329,532 30,664,766 15,332,383 45,997,150 22,998,575 68,995,726 34,497,863 103,493,590 51,746,795 155,240,386 77,620,193 232,860,580 116,430,290 58,215,145 174,645,436 87,322,718 43,661,359 130,984,078 65,492,039 196,476,118 98,238,059 294,714,178 147,357,089 442,071,268 221,035,634 110,517,817 331,553,452 165,776,726 82,888,363 248,665,090 124,332,545 372,997,636 186,498,818 93,249,409 279,748,228 139,874,114 69,937,057 209,811,172 104,905,586 52,452,793 157,358,380 78,679,190 39,339,595 118,018,786 59,009,393 177,028,180 88,514,090 44,257,045 132,771,136 66,385,568 33,192,784 16,596,392 8,298,196 4,149,098 2,074,549 6,223,648 3,111,824 1,555,912 777,956 388,978

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