λ
Ratio Atlas

37,631,465

5 × 151 × 49843
Deficient Odd Composite

37,631,465 factors as 5 × 151 × 49843. Its 8 positive divisors give a proper-divisor sum of 7,826,263, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 5 × 151 × 49843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 45,457,728
Proper Divisor Sum 7,826,263
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #37631459 ← → #37631507

Radix Representation

Decimal 37631465
Binary 10001111100011010111101001 (26 bits)
Octal 0o217432751
Hexadecimal 0x23E35E9

Divisor Catalog (8)

Collatz Trajectory (134 steps to reach 1)

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

37,631,465 112,894,396 56,447,198 28,223,599 84,670,798 42,335,399 127,006,198 63,503,099 190,509,298 95,254,649 285,763,948 142,881,974 71,440,987 214,322,962 107,161,481 321,484,444 160,742,222 80,371,111 241,113,334 120,556,667 361,670,002 180,835,001 542,505,004 271,252,502 135,626,251 406,878,754 203,439,377 610,318,132 305,159,066 152,579,533 457,738,600 228,869,300 114,434,650 57,217,325 171,651,976 85,825,988 42,912,994 21,456,497 64,369,492 32,184,746 16,092,373 48,277,120 24,138,560 12,069,280 6,034,640 3,017,320 1,508,660 754,330 377,165 1,131,496 565,748 282,874 141,437 424,312 212,156 106,078 53,039 159,118 79,559 238,678

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