λ
Ratio Atlas

61,395,359

53 × 971 × 1193
Deficient Odd Composite

61,395,359 factors as 53 × 971 × 1193. Its 8 positive divisors give a proper-divisor sum of 1,275,313, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 53 × 971 × 1193
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 62,670,672
Proper Divisor Sum 1,275,313
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #61395343 ← → #61395361

Radix Representation

Decimal 61395359
Binary 11101010001101000110011111 (26 bits)
Octal 0o352150637
Hexadecimal 0x3A8D19F

Divisor Catalog (8)

Collatz Trajectory (238 steps to reach 1)

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

61,395,359 184,186,078 92,093,039 276,279,118 138,139,559 414,418,678 207,209,339 621,628,018 310,814,009 932,442,028 466,221,014 233,110,507 699,331,522 349,665,761 1,048,997,284 524,498,642 262,249,321 786,747,964 393,373,982 196,686,991 590,060,974 295,030,487 885,091,462 442,545,731 1,327,637,194 663,818,597 1,991,455,792 995,727,896 497,863,948 248,931,974 124,465,987 373,397,962 186,698,981 560,096,944 280,048,472 140,024,236 70,012,118 35,006,059 105,018,178 52,509,089 157,527,268 78,763,634 39,381,817 118,145,452 59,072,726 29,536,363 88,609,090 44,304,545 132,913,636 66,456,818 33,228,409 99,685,228 49,842,614 24,921,307 74,763,922 37,381,961 112,145,884 56,072,942 28,036,471 84,109,414

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