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Atlas › Integer Profiles › Node 61,375,484

61,375,484

22 × 29 × 53 × 67 × 149
Deficient Even Composite

61,375,484 factors as 2^2 × 29 × 53 × 67 × 149. Its 48 positive divisors give a proper-divisor sum of 54,292,516, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 53 × 67 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 115,668,000
Proper Divisor Sum 54,292,516
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #61375481 ← → #61375487

Radix Representation

Decimal 61375484
Binary 11101010001000001111111100 (26 bits)
Octal 0o352101774
Hexadecimal 0x3A883FC

Divisor Catalog (48)

1 2 4 29 53 58 67 106 116 134 149 212 268 298 596 1,537 1,943 3,074 3,551 3,886 4,321 6,148 7,102 7,772 7,897 8,642 9,983 14,204 15,794 17,284 19,966 31,588 39,932 102,979 205,958 229,013 289,507 411,916 458,026 529,099 579,014 916,052 1,058,198 1,158,028 2,116,396 15,343,871 30,687,742 61,375,484

Collatz Trajectory (127 steps to reach 1)

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

61,375,484 30,687,742 15,343,871 46,031,614 23,015,807 69,047,422 34,523,711 103,571,134 51,785,567 155,356,702 77,678,351 233,035,054 116,517,527 349,552,582 174,776,291 524,328,874 262,164,437 786,493,312 393,246,656 196,623,328 98,311,664 49,155,832 24,577,916 12,288,958 6,144,479 18,433,438 9,216,719 27,650,158 13,825,079 41,475,238 20,737,619 62,212,858 31,106,429 93,319,288 46,659,644 23,329,822 11,664,911 34,994,734 17,497,367 52,492,102 26,246,051 78,738,154 39,369,077 118,107,232 59,053,616 29,526,808 14,763,404 7,381,702 3,690,851 11,072,554 5,536,277 16,608,832 8,304,416 4,152,208 2,076,104 1,038,052 519,026 259,513 778,540 389,270

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