49,638,400

2¹⁰ × 5² × 7 × 277

49,638,400 factors as 2^10 × 5^2 × 7 × 277. Its 132 positive divisors give a proper-divisor sum of 91,489,968, so this integer is abundant. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2^10 × 5^2 × 7 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 132

Divisor Sum (σ) 141,128,368

Proper Divisor Sum 91,489,968

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #49638377 ← → #49638403

Radix Representation

Decimal	49638400
Binary	10111101010110110000000000 (26 bits)
Octal	0o275266000
Hexadecimal	0x2F56C00

Divisor Catalog (60 of 132)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 277 280 320 350 400 448 512 554 560 640 700 800 896 1,024 1,108 1,120 1,280 1,385 1,400 1,600 1,792 1,939 2,216 2,240 2,560 2,770 2,800 3,200 3,584 3,878 4,432

Collatz Trajectory (261 steps to reach 1)

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

49,638,400 24,819,200 12,409,600 6,204,800 3,102,400 1,551,200 775,600 387,800 193,900 96,950 48,475 145,426 72,713 218,140 109,070 54,535 163,606 81,803 245,410 122,705 368,116 184,058 92,029 276,088 138,044 69,022 34,511 103,534 51,767 155,302 77,651 232,954 116,477 349,432 174,716 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157 1,119,472 559,736 279,868 139,934 69,967 209,902 104,951 314,854

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