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Atlas › Integer Profiles › Node 3,976,335

3,976,335

32 × 5 × 11 × 29 × 277
Deficient Odd Composite

3,976,335 factors as 3^2 × 5 × 11 × 29 × 277. Its 48 positive divisors give a proper-divisor sum of 3,829,905, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 29 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,806,240
Proper Divisor Sum 3,829,905
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3976331 ← → #3976337

Radix Representation

Decimal 3976335
Binary 1111001010110010001111 (22 bits)
Octal 0o17126217
Hexadecimal 0x3CAC8F

Divisor Catalog (48)

1 3 5 9 11 15 29 33 45 55 87 99 145 165 261 277 319 435 495 831 957 1,305 1,385 1,595 2,493 2,871 3,047 4,155 4,785 8,033 9,141 12,465 14,355 15,235 24,099 27,423 40,165 45,705 72,297 88,363 120,495 137,115 265,089 361,485 441,815 795,267 1,325,445 3,976,335

Collatz Trajectory (154 steps to reach 1)

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

3,976,335 11,929,006 5,964,503 17,893,510 8,946,755 26,840,266 13,420,133 40,260,400 20,130,200 10,065,100 5,032,550 2,516,275 7,548,826 3,774,413 11,323,240 5,661,620 2,830,810 1,415,405 4,246,216 2,123,108 1,061,554 530,777 1,592,332 796,166 398,083 1,194,250 597,125 1,791,376 895,688 447,844 223,922 111,961 335,884 167,942 83,971 251,914 125,957 377,872 188,936 94,468 47,234 23,617 70,852 35,426 17,713 53,140 26,570 13,285 39,856 19,928 9,964 4,982 2,491 7,474 3,737 11,212 5,606 2,803 8,410 4,205

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