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Atlas › Integer Profiles › Node 48,756,765

48,756,765

3 × 5 × 17 × 71 × 2693
Deficient Odd Composite

48,756,765 factors as 3 × 5 × 17 × 71 × 2693. Its 32 positive divisors give a proper-divisor sum of 35,037,411, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 71 × 2693
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,794,176
Proper Divisor Sum 35,037,411
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #48756737 ← → #48756779

Radix Representation

Decimal 48756765
Binary 10111001111111100000011101 (26 bits)
Octal 0o271774035
Hexadecimal 0x2E7F81D

Divisor Catalog (32)

1 3 5 15 17 51 71 85 213 255 355 1,065 1,207 2,693 3,621 6,035 8,079 13,465 18,105 40,395 45,781 137,343 191,203 228,905 573,609 686,715 956,015 2,868,045 3,250,451 9,751,353 16,252,255 48,756,765

Collatz Trajectory (85 steps to reach 1)

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

48,756,765 146,270,296 73,135,148 36,567,574 18,283,787 54,851,362 27,425,681 82,277,044 41,138,522 20,569,261 61,707,784 30,853,892 15,426,946 7,713,473 23,140,420 11,570,210 5,785,105 17,355,316 8,677,658 4,338,829 13,016,488 6,508,244 3,254,122 1,627,061 4,881,184 2,440,592 1,220,296 610,148 305,074 152,537 457,612 228,806 114,403 343,210 171,605 514,816 257,408 128,704 64,352 32,176 16,088 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433

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